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Finding the Fourth Proportional to 217.26, 299.82 and 129.92

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Solution

The fourth proportional to 217.26, 299.82 and 129.92 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.26 : 299.82 = 129.92 : x
  2. Step 2: Convert to fraction form
    217.26/299.82 = 129.92/x
  3. Step 3: Cross multiply
    217.26x = 299.82 × 129.92
  4. Step 4: Simplify right side
    217.26x = 38,951.12
  5. Step 5: Solve for x
    x = 38,951.12/217.26
  6. Step 6: Final answer
    x = 179.28

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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.