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Finding the Fourth Proportional to 140.31, 209.95 and 85.27

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Solution

The fourth proportional to 140.31, 209.95 and 85.27 is: 127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 209.95 = 85.27 : x
  2. Step 2: Convert to fraction form
    140.31/209.95 = 85.27/x
  3. Step 3: Cross multiply
    140.31x = 209.95 × 85.27
  4. Step 4: Simplify right side
    140.31x = 17,902.44
  5. Step 5: Solve for x
    x = 17,902.44/140.31
  6. Step 6: Final answer
    x = 127.59

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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.