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Finding the Fourth Proportional to 167.13, 249.25 and 142.91

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Solution

The fourth proportional to 167.13, 249.25 and 142.91 is: 213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.13 : 249.25 = 142.91 : x
  2. Step 2: Convert to fraction form
    167.13/249.25 = 142.91/x
  3. Step 3: Cross multiply
    167.13x = 249.25 × 142.91
  4. Step 4: Simplify right side
    167.13x = 35,619.92
  5. Step 5: Solve for x
    x = 35,619.92/167.13
  6. Step 6: Final answer
    x = 213.13

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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.