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Finding the Fourth Proportional to 397.46, 547.96 and 326.30

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Solution

The fourth proportional to 397.46, 547.96 and 326.30 is: 449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.46 : 547.96 = 326.30 : x
  2. Step 2: Convert to fraction form
    397.46/547.96 = 326.30/x
  3. Step 3: Cross multiply
    397.46x = 547.96 × 326.30
  4. Step 4: Simplify right side
    397.46x = 178,796.61
  5. Step 5: Solve for x
    x = 178,796.61/397.46
  6. Step 6: Final answer
    x = 449.85

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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.