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Finding the Fourth Proportional to 396.99, 548.24 and 327.29

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Solution

The fourth proportional to 396.99, 548.24 and 327.29 is: 451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.99 : 548.24 = 327.29 : x
  2. Step 2: Convert to fraction form
    396.99/548.24 = 327.29/x
  3. Step 3: Cross multiply
    396.99x = 548.24 × 327.29
  4. Step 4: Simplify right side
    396.99x = 179,431.55
  5. Step 5: Solve for x
    x = 179,431.55/396.99
  6. Step 6: Final answer
    x = 451.98

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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.