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Finding the Fourth Proportional to 323.87, 447.12 and 213.30

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Solution

The fourth proportional to 323.87, 447.12 and 213.30 is: 294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.87 : 447.12 = 213.30 : x
  2. Step 2: Convert to fraction form
    323.87/447.12 = 213.30/x
  3. Step 3: Cross multiply
    323.87x = 447.12 × 213.30
  4. Step 4: Simplify right side
    323.87x = 95,370.70
  5. Step 5: Solve for x
    x = 95,370.70/323.87
  6. Step 6: Final answer
    x = 294.48

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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.