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Finding the Fourth Proportional to 397.68, 547.56 and 338.55

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Solution

The fourth proportional to 397.68, 547.56 and 338.55 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.68 : 547.56 = 338.55 : x
  2. Step 2: Convert to fraction form
    397.68/547.56 = 338.55/x
  3. Step 3: Cross multiply
    397.68x = 547.56 × 338.55
  4. Step 4: Simplify right side
    397.68x = 185,376.44
  5. Step 5: Solve for x
    x = 185,376.44/397.68
  6. Step 6: Final answer
    x = 466.14

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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.