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Finding the Fourth Proportional to 168.45, 232.61 and 129.57

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Solution

The fourth proportional to 168.45, 232.61 and 129.57 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.45 : 232.61 = 129.57 : x
  2. Step 2: Convert to fraction form
    168.45/232.61 = 129.57/x
  3. Step 3: Cross multiply
    168.45x = 232.61 × 129.57
  4. Step 4: Simplify right side
    168.45x = 30,139.28
  5. Step 5: Solve for x
    x = 30,139.28/168.45
  6. Step 6: Final answer
    x = 178.92

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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.