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Finding the Fourth Proportional to 153.10, 229.17 and 129.79

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Solution

The fourth proportional to 153.10, 229.17 and 129.79 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.10 : 229.17 = 129.79 : x
  2. Step 2: Convert to fraction form
    153.10/229.17 = 129.79/x
  3. Step 3: Cross multiply
    153.10x = 229.17 × 129.79
  4. Step 4: Simplify right side
    153.10x = 29,743.97
  5. Step 5: Solve for x
    x = 29,743.97/153.10
  6. Step 6: Final answer
    x = 194.28

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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.