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Finding the Fourth Proportional to 99.32, 149.07 and 76.42

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Solution

The fourth proportional to 99.32, 149.07 and 76.42 is: 114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.32 : 149.07 = 76.42 : x
  2. Step 2: Convert to fraction form
    99.32/149.07 = 76.42/x
  3. Step 3: Cross multiply
    99.32x = 149.07 × 76.42
  4. Step 4: Simplify right side
    99.32x = 11,391.93
  5. Step 5: Solve for x
    x = 11,391.93/99.32
  6. Step 6: Final answer
    x = 114.70

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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.