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Finding the Fourth Proportional to 323.56, 446.78 and 249.76

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Solution

The fourth proportional to 323.56, 446.78 and 249.76 is: 344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.56 : 446.78 = 249.76 : x
  2. Step 2: Convert to fraction form
    323.56/446.78 = 249.76/x
  3. Step 3: Cross multiply
    323.56x = 446.78 × 249.76
  4. Step 4: Simplify right side
    323.56x = 111,587.77
  5. Step 5: Solve for x
    x = 111,587.77/323.56
  6. Step 6: Final answer
    x = 344.88

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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.