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Finding the Fourth Proportional to 140.20, 211.39 and 122.98

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Solution

The fourth proportional to 140.20, 211.39 and 122.98 is: 185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.20 : 211.39 = 122.98 : x
  2. Step 2: Convert to fraction form
    140.20/211.39 = 122.98/x
  3. Step 3: Cross multiply
    140.20x = 211.39 × 122.98
  4. Step 4: Simplify right side
    140.20x = 25,996.74
  5. Step 5: Solve for x
    x = 25,996.74/140.20
  6. Step 6: Final answer
    x = 185.43

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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.