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Finding the Fourth Proportional to 297.92, 447.24 and 221.24

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Solution

The fourth proportional to 297.92, 447.24 and 221.24 is: 332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 447.24 = 221.24 : x
  2. Step 2: Convert to fraction form
    297.92/447.24 = 221.24/x
  3. Step 3: Cross multiply
    297.92x = 447.24 × 221.24
  4. Step 4: Simplify right side
    297.92x = 98,947.38
  5. Step 5: Solve for x
    x = 98,947.38/297.92
  6. Step 6: Final answer
    x = 332.13

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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.