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Finding the Fourth Proportional to 129.91, 193.85 and 129.15

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Solution

The fourth proportional to 129.91, 193.85 and 129.15 is: 192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.91 : 193.85 = 129.15 : x
  2. Step 2: Convert to fraction form
    129.91/193.85 = 129.15/x
  3. Step 3: Cross multiply
    129.91x = 193.85 × 129.15
  4. Step 4: Simplify right side
    129.91x = 25,035.57
  5. Step 5: Solve for x
    x = 25,035.57/129.91
  6. Step 6: Final answer
    x = 192.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.