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Finding the Fourth Proportional to 397.29, 547.73 and 338.04

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Solution

The fourth proportional to 397.29, 547.73 and 338.04 is: 466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 547.73 = 338.04 : x
  2. Step 2: Convert to fraction form
    397.29/547.73 = 338.04/x
  3. Step 3: Cross multiply
    397.29x = 547.73 × 338.04
  4. Step 4: Simplify right side
    397.29x = 185,152.96
  5. Step 5: Solve for x
    x = 185,152.96/397.29
  6. Step 6: Final answer
    x = 466.04

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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.