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Finding the Fourth Proportional to 332.24, 458.67 and 221.88

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Solution

The fourth proportional to 332.24, 458.67 and 221.88 is: 306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 458.67 = 221.88 : x
  2. Step 2: Convert to fraction form
    332.24/458.67 = 221.88/x
  3. Step 3: Cross multiply
    332.24x = 458.67 × 221.88
  4. Step 4: Simplify right side
    332.24x = 101,769.70
  5. Step 5: Solve for x
    x = 101,769.70/332.24
  6. Step 6: Final answer
    x = 306.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.