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Finding the Fourth Proportional to 129.40, 192.96 and 113.91

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Solution

The fourth proportional to 129.40, 192.96 and 113.91 is: 169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.40 : 192.96 = 113.91 : x
  2. Step 2: Convert to fraction form
    129.40/192.96 = 113.91/x
  3. Step 3: Cross multiply
    129.40x = 192.96 × 113.91
  4. Step 4: Simplify right side
    129.40x = 21,979.03
  5. Step 5: Solve for x
    x = 21,979.03/129.40
  6. Step 6: Final answer
    x = 169.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.