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Finding the Fourth Proportional to 142.76, 213.84 and 129.70

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Solution

The fourth proportional to 142.76, 213.84 and 129.70 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 213.84 = 129.70 : x
  2. Step 2: Convert to fraction form
    142.76/213.84 = 129.70/x
  3. Step 3: Cross multiply
    142.76x = 213.84 × 129.70
  4. Step 4: Simplify right side
    142.76x = 27,735.32
  5. Step 5: Solve for x
    x = 27,735.32/142.76
  6. Step 6: Final answer
    x = 194.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.