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Finding the Fourth Proportional to 99.38, 137.12 and 91.64

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Solution

The fourth proportional to 99.38, 137.12 and 91.64 is: 126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 137.12 = 91.64 : x
  2. Step 2: Convert to fraction form
    99.38/137.12 = 91.64/x
  3. Step 3: Cross multiply
    99.38x = 137.12 × 91.64
  4. Step 4: Simplify right side
    99.38x = 12,565.68
  5. Step 5: Solve for x
    x = 12,565.68/99.38
  6. Step 6: Final answer
    x = 126.44

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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.