To find male predominance, look at how the sexes differ in chromosome dosage. A man carries a single X and a Y, so for any gene on the X he has just one copy. A woman carries two X chromosomes, so she has a backup copy of every X-linked gene.
In an X-linked recessive disorder this asymmetry matters a lot. One faulty allele on a man's single X is sufficient to cause disease, since there is no partner X to cover for it. A woman would need the same fault on both of her X chromosomes to be affected, which is uncommon. The result is that males are affected much more frequently. Classic examples are haemophilia, Duchenne muscular dystrophy, and red-green colour blindness.
The other modes do not favour males. Autosomal dominant and recessive genes lie on non-sex chromosomes, so men and women are hit about equally. X-linked dominant disease leans towards females, and in several such conditions affected males die before or soon after birth.
So the inheritance pattern in which men predominate is the X-linked recessive type.
\[\boxed{\text{X-linked recessive}}\]