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Finding the Fourth Proportional to 129.10, 177.72 and 113.49

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Solution

The fourth proportional to 129.10, 177.72 and 113.49 is: 156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.10 : 177.72 = 113.49 : x
  2. Step 2: Convert to fraction form
    129.10/177.72 = 113.49/x
  3. Step 3: Cross multiply
    129.10x = 177.72 × 113.49
  4. Step 4: Simplify right side
    129.10x = 20,169.44
  5. Step 5: Solve for x
    x = 20,169.44/129.10
  6. Step 6: Final answer
    x = 156.23

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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.