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Finding the Fourth Proportional to 142.42, 213.49 and 129.74

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Solution

The fourth proportional to 142.42, 213.49 and 129.74 is: 194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.42 : 213.49 = 129.74 : x
  2. Step 2: Convert to fraction form
    142.42/213.49 = 129.74/x
  3. Step 3: Cross multiply
    142.42x = 213.49 × 129.74
  4. Step 4: Simplify right side
    142.42x = 27,698.09
  5. Step 5: Solve for x
    x = 27,698.09/142.42
  6. Step 6: Final answer
    x = 194.49

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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.