It's still not even sure if it'll be released on Xbox 360, but we hope it will. Currently, "The House Of The Dead 4" is on Arcade and there's no official announcement that there'll be a port for Xbox 360.
Why do we hope it will be released for Xbox 360? Because the arcade machine that runs "The House Of The Dead 4" is based on Xbox 360 hardware, so consider that a possibility of seeing this game on Xbox 360. When? I don't know. It hasn't even been announced. Maybe it will, maybe it will never make it on Xbox 360, it's just a matter of time.