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Finding the Fourth Proportional to 129.66, 177.51 and 126.42

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Solution

The fourth proportional to 129.66, 177.51 and 126.42 is: 173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.66 : 177.51 = 126.42 : x
  2. Step 2: Convert to fraction form
    129.66/177.51 = 126.42/x
  3. Step 3: Cross multiply
    129.66x = 177.51 × 126.42
  4. Step 4: Simplify right side
    129.66x = 22,440.81
  5. Step 5: Solve for x
    x = 22,440.81/129.66
  6. Step 6: Final answer
    x = 173.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.