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Finding the Fourth Proportional to 323.78, 446.63 and 213.21

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Solution

The fourth proportional to 323.78, 446.63 and 213.21 is: 294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.78 : 446.63 = 213.21 : x
  2. Step 2: Convert to fraction form
    323.78/446.63 = 213.21/x
  3. Step 3: Cross multiply
    323.78x = 446.63 × 213.21
  4. Step 4: Simplify right side
    323.78x = 95,224.92
  5. Step 5: Solve for x
    x = 95,224.92/323.78
  6. Step 6: Final answer
    x = 294.11

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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.