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Finding the Fourth Proportional to 39.97, 55.20 and 30.66

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Solution

The fourth proportional to 39.97, 55.20 and 30.66 is: 42.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.97 : 55.20 = 30.66 : x
  2. Step 2: Convert to fraction form
    39.97/55.20 = 30.66/x
  3. Step 3: Cross multiply
    39.97x = 55.20 × 30.66
  4. Step 4: Simplify right side
    39.97x = 1,692.00
  5. Step 5: Solve for x
    x = 1,692.00/39.97
  6. Step 6: Final answer
    x = 42.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.