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Finding the Fourth Proportional to 151.59, 209.31 and 99.17

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Solution

The fourth proportional to 151.59, 209.31 and 99.17 is: 136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.59 : 209.31 = 99.17 : x
  2. Step 2: Convert to fraction form
    151.59/209.31 = 99.17/x
  3. Step 3: Cross multiply
    151.59x = 209.31 × 99.17
  4. Step 4: Simplify right side
    151.59x = 20,757.27
  5. Step 5: Solve for x
    x = 20,757.27/151.59
  6. Step 6: Final answer
    x = 136.93

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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.