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Finding the Fourth Proportional to 168.69, 232.76 and 129.40

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Solution

The fourth proportional to 168.69, 232.76 and 129.40 is: 178.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.69 : 232.76 = 129.40 : x
  2. Step 2: Convert to fraction form
    168.69/232.76 = 129.40/x
  3. Step 3: Cross multiply
    168.69x = 232.76 × 129.40
  4. Step 4: Simplify right side
    168.69x = 30,119.14
  5. Step 5: Solve for x
    x = 30,119.14/168.69
  6. Step 6: Final answer
    x = 178.55

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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.