Final answer:
The next step for an HIV positive patient with a low CD4+ count and a 4 mm PPD induration is to get a chest x-ray to rule out active tuberculosis, even though the induration size is below the typical threshold for positivity in HIV-positive individuals.
Step-by-step explanation:
The most appropriate next step in the management of an HIV positive patient with a CD4+ lymphocyte count of 179/mm3 and a tuberculin skin test (PPD) resulting in 4 mm of induration is a chest x-ray. This is necessary to rule out active tuberculosis (TB), which is a significant risk in patients with low CD4+ counts and could present with a smaller induration than in patients with a normal immune response. Although the size of the induration is typically less than the 5 mm threshold considered positive in HIV-positive individuals, the patient's low CD4+ count and potential risk for TB necessitates further evaluation with a chest x-ray before considering prophylactic or therapeutic regimens.