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Finding the Fourth Proportional to 139.35, 208.49 and 75.27

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Solution

The fourth proportional to 139.35, 208.49 and 75.27 is: 112.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.35 : 208.49 = 75.27 : x
  2. Step 2: Convert to fraction form
    139.35/208.49 = 75.27/x
  3. Step 3: Cross multiply
    139.35x = 208.49 × 75.27
  4. Step 4: Simplify right side
    139.35x = 15,692.67
  5. Step 5: Solve for x
    x = 15,692.67/139.35
  6. Step 6: Final answer
    x = 112.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.