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Finding the Fourth Proportional to 221.73, 331.98 and 167.46

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Solution

The fourth proportional to 221.73, 331.98 and 167.46 is: 250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.73 : 331.98 = 167.46 : x
  2. Step 2: Convert to fraction form
    221.73/331.98 = 167.46/x
  3. Step 3: Cross multiply
    221.73x = 331.98 × 167.46
  4. Step 4: Simplify right side
    221.73x = 55,593.37
  5. Step 5: Solve for x
    x = 55,593.37/221.73
  6. Step 6: Final answer
    x = 250.73

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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.