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Finding the Fourth Proportional to 397.27, 547.66 and 327.21

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Solution

The fourth proportional to 397.27, 547.66 and 327.21 is: 451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.27 : 547.66 = 327.21 : x
  2. Step 2: Convert to fraction form
    397.27/547.66 = 327.21/x
  3. Step 3: Cross multiply
    397.27x = 547.66 × 327.21
  4. Step 4: Simplify right side
    397.27x = 179,202.80
  5. Step 5: Solve for x
    x = 179,202.80/397.27
  6. Step 6: Final answer
    x = 451.09

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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.