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Finding the Fourth Proportional to 396.84, 548.46 and 352.20

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Solution

The fourth proportional to 396.84, 548.46 and 352.20 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.84 : 548.46 = 352.20 : x
  2. Step 2: Convert to fraction form
    396.84/548.46 = 352.20/x
  3. Step 3: Cross multiply
    396.84x = 548.46 × 352.20
  4. Step 4: Simplify right side
    396.84x = 193,167.61
  5. Step 5: Solve for x
    x = 193,167.61/396.84
  6. Step 6: Final answer
    x = 486.76

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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.