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Finding the Fourth Proportional to 142.40, 211.92 and 140.96

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Solution

The fourth proportional to 142.40, 211.92 and 140.96 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.40 : 211.92 = 140.96 : x
  2. Step 2: Convert to fraction form
    142.40/211.92 = 140.96/x
  3. Step 3: Cross multiply
    142.40x = 211.92 × 140.96
  4. Step 4: Simplify right side
    142.40x = 29,872.24
  5. Step 5: Solve for x
    x = 29,872.24/142.40
  6. Step 6: Final answer
    x = 209.78

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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.