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Finding the Fourth Proportional to 129.71, 178.88 and 114.96

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Solution

The fourth proportional to 129.71, 178.88 and 114.96 is: 158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.71 : 178.88 = 114.96 : x
  2. Step 2: Convert to fraction form
    129.71/178.88 = 114.96/x
  3. Step 3: Cross multiply
    129.71x = 178.88 × 114.96
  4. Step 4: Simplify right side
    129.71x = 20,563.47
  5. Step 5: Solve for x
    x = 20,563.47/129.71
  6. Step 6: Final answer
    x = 158.54

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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.