Cessna 182 pilot reported an NMAC event during landing with an intruding aircraft. The pilot took evasive action and landed.

Narrative

Inbound to ZZZ from NE entered left downwind for 36 from 45. Made radio calls on the 45; entering downwind. As approaching base turn heard call from Cirrus calling 'Experimental SR22 3 miles south inbound full stop; straight in'. As I was making my turn I called out 'Aircraft X turning left base for XX ZZZ full stop; ZZZ traffic'. I had mentally calculated that from my point and speed (120mph) I should be on the ground and turning off about the time the cirrus was on a 1 mile final. I made my call when turning final 'Aircraft X turning final XX ZZZ full stop' I then saw the cirrus overhead descending flaps extended; what I would describe as 'Diving for the runway'. I turned right and made a call that 'Aircraft X was pulling off'. I continued upwind to the east side of the runway and made my way around to downwind and landed normally. I saw the cirrus land and heard him call that he was clear of the runway and taxiing to 'the ramp' but never saw where he ended up.My mistake was believing and counting on that the cirrus was 3 miles out. He obviously was more like already on a mile final but high and fast. I have no way of knowing for sure because I never saw him until I turned to final. I probably should have made a right 360 and let him land but since I thought he was 3 miles out; had he called 1 mile final I would have. Since he was straight in; and I thought 3 miles out; I felt he would adjust speed and fit himself into the traffic flow; as I understand you should when landing straight in.In short I should have and now will always distrust callouts. ADSB coverage seems spotty in this area. I have 978 out and ADSB in via foreflight; but traffic display is intermittent around ZZZ. I did not have the SR22 on ADSB at the time; it would have made my decision obvious.