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Finding the Fourth Proportional to 142.72, 213.22 and 126.88

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Solution

The fourth proportional to 142.72, 213.22 and 126.88 is: 189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.72 : 213.22 = 126.88 : x
  2. Step 2: Convert to fraction form
    142.72/213.22 = 126.88/x
  3. Step 3: Cross multiply
    142.72x = 213.22 × 126.88
  4. Step 4: Simplify right side
    142.72x = 27,053.35
  5. Step 5: Solve for x
    x = 27,053.35/142.72
  6. Step 6: Final answer
    x = 189.56

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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.