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Finding the Fourth Proportional to 168.28, 232.38 and 129.72

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Solution

The fourth proportional to 168.28, 232.38 and 129.72 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.28 : 232.38 = 129.72 : x
  2. Step 2: Convert to fraction form
    168.28/232.38 = 129.72/x
  3. Step 3: Cross multiply
    168.28x = 232.38 × 129.72
  4. Step 4: Simplify right side
    168.28x = 30,144.33
  5. Step 5: Solve for x
    x = 30,144.33/168.28
  6. Step 6: Final answer
    x = 179.13

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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.