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Finding the Fourth Proportional to 167.75, 250.19 and 137.17

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Solution

The fourth proportional to 167.75, 250.19 and 137.17 is: 204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.75 : 250.19 = 137.17 : x
  2. Step 2: Convert to fraction form
    167.75/250.19 = 137.17/x
  3. Step 3: Cross multiply
    167.75x = 250.19 × 137.17
  4. Step 4: Simplify right side
    167.75x = 34,318.28
  5. Step 5: Solve for x
    x = 34,318.28/167.75
  6. Step 6: Final answer
    x = 204.59

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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.