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Finding the Fourth Proportional to 142.76, 198.31 and 140.56

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Solution

The fourth proportional to 142.76, 198.31 and 140.56 is: 195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 198.31 = 140.56 : x
  2. Step 2: Convert to fraction form
    142.76/198.31 = 140.56/x
  3. Step 3: Cross multiply
    142.76x = 198.31 × 140.56
  4. Step 4: Simplify right side
    142.76x = 27,872.76
  5. Step 5: Solve for x
    x = 27,872.76/142.76
  6. Step 6: Final answer
    x = 195.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.