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Finding the Fourth Proportional to 140.38, 211.06 and 110.31

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Solution

The fourth proportional to 140.38, 211.06 and 110.31 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.38 : 211.06 = 110.31 : x
  2. Step 2: Convert to fraction form
    140.38/211.06 = 110.31/x
  3. Step 3: Cross multiply
    140.38x = 211.06 × 110.31
  4. Step 4: Simplify right side
    140.38x = 23,281.94
  5. Step 5: Solve for x
    x = 23,281.94/140.38
  6. Step 6: Final answer
    x = 165.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.