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Finding the Fourth Proportional to 129.68, 176.61 and 128.17

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Solution

The fourth proportional to 129.68, 176.61 and 128.17 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.68 : 176.61 = 128.17 : x
  2. Step 2: Convert to fraction form
    129.68/176.61 = 128.17/x
  3. Step 3: Cross multiply
    129.68x = 176.61 × 128.17
  4. Step 4: Simplify right side
    129.68x = 22,636.10
  5. Step 5: Solve for x
    x = 22,636.10/129.68
  6. Step 6: Final answer
    x = 174.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.