Final answer:
In a case of hypovolemic shock due to severe vomiting and diarrhea in a child, administering a fluid bolus is the appropriate next step in management after ventilation has been established and improved heart rate is not observed.
Step-by-step explanation:
The situation described suggests that the child is in a state of hypovolemic shock, which is common in young children with severe diarrhea or vomiting. The appropriate next step in therapy, after establishing an airway and ensuring proper ventilation but without improvement in heart rate, would be to administer a fluid bolus. Fluid resuscitation is crucial in treating hypovolemic shock to restore intravascular volume and improve circulation. Although chest compressions and reassessment, epinephrine, and advanced airway management are part of the resuscitation protocols, a fluid bolus is often a priority in cases of shock due to dehydration and fluid loss.