Here are some additional formula from Kehl:
Plain carbon steels:
Below 175 Brinell
UT = 515 x BHN Transverse to the rollin direction
UT = 504 x BHN In direction of rolling
Above 175 Brinell
UT = 489 x BHN Transverse to the rolling direction
UT = 461 x BHN In direction of rolling
For Nickel low alloy steels:
UT = (710 x BHN) - 32,000
For chromium/nickel low alloy steels:
UT = (710 x BHN) - 33,000
For Chromium /Vanadium low alloy steels:
UT = (710 x BHN)- 29,000
FYI; I have found that the strength vs hardness of P91 alloy steel compares favorably with the last formula.