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Finding the Fourth Proportional to 397, 548.10 and 323.92

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Solution

The fourth proportional to 397, 548.10 and 323.92 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 548.10 = 323.92 : x
  2. Step 2: Convert to fraction form
    397/548.10 = 323.92/x
  3. Step 3: Cross multiply
    397x = 548.10 × 323.92
  4. Step 4: Simplify right side
    397x = 177,540.55
  5. Step 5: Solve for x
    x = 177,540.55/397
  6. Step 6: Final answer
    x = 447.21

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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.