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Finding the Fourth Proportional to 167.16, 249.66 and 140.13

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Solution

The fourth proportional to 167.16, 249.66 and 140.13 is: 209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.16 : 249.66 = 140.13 : x
  2. Step 2: Convert to fraction form
    167.16/249.66 = 140.13/x
  3. Step 3: Cross multiply
    167.16x = 249.66 × 140.13
  4. Step 4: Simplify right side
    167.16x = 34,984.86
  5. Step 5: Solve for x
    x = 34,984.86/167.16
  6. Step 6: Final answer
    x = 209.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.