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Finding the Fourth Proportional to 168.78, 232.91 and 129.37

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Solution

The fourth proportional to 168.78, 232.91 and 129.37 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 232.91 = 129.37 : x
  2. Step 2: Convert to fraction form
    168.78/232.91 = 129.37/x
  3. Step 3: Cross multiply
    168.78x = 232.91 × 129.37
  4. Step 4: Simplify right side
    168.78x = 30,129.76
  5. Step 5: Solve for x
    x = 30,129.76/168.78
  6. Step 6: Final answer
    x = 178.51

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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.