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Finding the Fourth Proportional to 323.91, 447.21 and 213.57

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Solution

The fourth proportional to 323.91, 447.21 and 213.57 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.91 : 447.21 = 213.57 : x
  2. Step 2: Convert to fraction form
    323.91/447.21 = 213.57/x
  3. Step 3: Cross multiply
    323.91x = 447.21 × 213.57
  4. Step 4: Simplify right side
    323.91x = 95,509.57
  5. Step 5: Solve for x
    x = 95,509.57/323.91
  6. Step 6: Final answer
    x = 294.86

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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.