1943–44 Iowa State Cyclones men's basketball team - Wikipedia
A CBS announcer just said emphatically that ISU has never been to the final 4. He is incorrect, but not way off base.
In 1944, ISU played in the NIT (eight teams in tournament), not the NCAA tournament. At the time NIT was more prestigious. They were previously offered the NCAA, but declined, and then Iowa took that open bid, supposedly because they wanted to avoid playing against ISU. ISU was unranked that season. ISU won 1 game to get to the final four, then lost to the Utah Redskins, who went on be NC. ISU had a lot of roster turnover that season due to WW2.
So yes, ISU has had a final 4 team, but it is kind of sketchy - kind of like our 2 MVC conference football championships in football (1911-1912).