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Finding the Fourth Proportional to 142.54, 211.13 and 140.92

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Solution

The fourth proportional to 142.54, 211.13 and 140.92 is: 208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.54 : 211.13 = 140.92 : x
  2. Step 2: Convert to fraction form
    142.54/211.13 = 140.92/x
  3. Step 3: Cross multiply
    142.54x = 211.13 × 140.92
  4. Step 4: Simplify right side
    142.54x = 29,751.38
  5. Step 5: Solve for x
    x = 29,751.38/142.54
  6. Step 6: Final answer
    x = 208.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.