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Finding the Fourth Proportional to 142.92, 213.48 and 140.22

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Solution

The fourth proportional to 142.92, 213.48 and 140.22 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.92 : 213.48 = 140.22 : x
  2. Step 2: Convert to fraction form
    142.92/213.48 = 140.22/x
  3. Step 3: Cross multiply
    142.92x = 213.48 × 140.22
  4. Step 4: Simplify right side
    142.92x = 29,934.17
  5. Step 5: Solve for x
    x = 29,934.17/142.92
  6. Step 6: Final answer
    x = 209.45

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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.