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Finding the Fourth Proportional to 91.32, 137 and 39.97

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Solution

The fourth proportional to 91.32, 137 and 39.97 is: 59.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.32 : 137 = 39.97 : x
  2. Step 2: Convert to fraction form
    91.32/137 = 39.97/x
  3. Step 3: Cross multiply
    91.32x = 137 × 39.97
  4. Step 4: Simplify right side
    91.32x = 5,475.89
  5. Step 5: Solve for x
    x = 5,475.89/91.32
  6. Step 6: Final answer
    x = 59.96

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Why These Related Problems?

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