One Reddit user demonstrated (and disseminated) his or her photo morphing skills by combining the faces of all the actors to have ever played The Dark Knight over the years starting with 1960's television Batman Adam West and adding the features of Keaton, Kilmer, Clooney, and Bale (which, by the way, is also a really great name for a law firm). The resulting Ultimate Bruce Wayne is dark-haired and handsome—and he's got a pretty good chance of being tall as long as Keaton and Clooney's genes don't dominate.
Check out the photo below (courtesy of Videogum) to see if you can pick out features from the five different actors' faces. (I see mainly Bale and Keaton with maybe a touch of Kilmer and West but I can't make out any Clooney at all). One thing is certain: Ultimate Bruce Wayne definitely takes after his dad.