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Finding the Fourth Proportional to 323.54, 446.43 and 213.20

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Solution

The fourth proportional to 323.54, 446.43 and 213.20 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.54 : 446.43 = 213.20 : x
  2. Step 2: Convert to fraction form
    323.54/446.43 = 213.20/x
  3. Step 3: Cross multiply
    323.54x = 446.43 × 213.20
  4. Step 4: Simplify right side
    323.54x = 95,178.88
  5. Step 5: Solve for x
    x = 95,178.88/323.54
  6. Step 6: Final answer
    x = 294.18

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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.