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Finding the Fourth Proportional to 129.98, 180.29 and 125.61

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Solution

The fourth proportional to 129.98, 180.29 and 125.61 is: 174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.98 : 180.29 = 125.61 : x
  2. Step 2: Convert to fraction form
    129.98/180.29 = 125.61/x
  3. Step 3: Cross multiply
    129.98x = 180.29 × 125.61
  4. Step 4: Simplify right side
    129.98x = 22,646.23
  5. Step 5: Solve for x
    x = 22,646.23/129.98
  6. Step 6: Final answer
    x = 174.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.