The other thing to keep in mind is that we usually way underdose the potassium. There's a fair bit of leeway on the 10meq=0.1 for both IV and PO, and people are afraid of giving enough.
The high end of normal for potassium is somewhere around 5.3-5.4 (depending on your lab), and unless you WAY overdo it, you're not getting anywhere close to that. Someone that's 3.0 should get at least 80meq (I usually do 40PO and 40 IV), because even if (jeebus forbid) it's twice as effective as the dogma, you still wont be above the low-mid 4s. Nowhere near a dangerous range. Half of my coresidents give 40 and then end up having to redose the patient daily. If I need to give more than 80, I'll usually increase the PO dose preferentially, because it's way faster than IV unless you have a CVC. 80meq PO can be given all at once (haven't had pharmacy blink at my orders) versus over 8 hours through and IV.
Also, if the patient isn't responding to potassium supplementation, gotta remember to check the Mg. Low Mg=refractory hypokalemia until you fix the underlying Mg problem.
(My record for K supplementation is ~1000 meq over 4 days between PO and IV. Patient had terrible DKA and required huge amounts to the point he was off his insulin drip half the time because we were worried about dropping his K any further. After we got him tanked back up and the acidosis resolved? Stable K for the remainder of the hospital stay).