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Finding the Fourth Proportional to 140.46, 211.92 and 138.84

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Solution

The fourth proportional to 140.46, 211.92 and 138.84 is: 209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.46 : 211.92 = 138.84 : x
  2. Step 2: Convert to fraction form
    140.46/211.92 = 138.84/x
  3. Step 3: Cross multiply
    140.46x = 211.92 × 138.84
  4. Step 4: Simplify right side
    140.46x = 29,422.97
  5. Step 5: Solve for x
    x = 29,422.97/140.46
  6. Step 6: Final answer
    x = 209.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.