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Finding the Fourth Proportional to 167.71, 250.26 and 147.46

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Solution

The fourth proportional to 167.71, 250.26 and 147.46 is: 220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.71 : 250.26 = 147.46 : x
  2. Step 2: Convert to fraction form
    167.71/250.26 = 147.46/x
  3. Step 3: Cross multiply
    167.71x = 250.26 × 147.46
  4. Step 4: Simplify right side
    167.71x = 36,902.09
  5. Step 5: Solve for x
    x = 36,902.09/167.71
  6. Step 6: Final answer
    x = 220.04

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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.