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Finding the Fourth Proportional to 129.05, 194.28 and 117.71

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Solution

The fourth proportional to 129.05, 194.28 and 117.71 is: 177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.05 : 194.28 = 117.71 : x
  2. Step 2: Convert to fraction form
    129.05/194.28 = 117.71/x
  3. Step 3: Cross multiply
    129.05x = 194.28 × 117.71
  4. Step 4: Simplify right side
    129.05x = 22,868.70
  5. Step 5: Solve for x
    x = 22,868.70/129.05
  6. Step 6: Final answer
    x = 177.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.