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Finding the Fourth Proportional to 221.56, 332.44 and 167.84

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Solution

The fourth proportional to 221.56, 332.44 and 167.84 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.56 : 332.44 = 167.84 : x
  2. Step 2: Convert to fraction form
    221.56/332.44 = 167.84/x
  3. Step 3: Cross multiply
    221.56x = 332.44 × 167.84
  4. Step 4: Simplify right side
    221.56x = 55,796.73
  5. Step 5: Solve for x
    x = 55,796.73/221.56
  6. Step 6: Final answer
    x = 251.84

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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.