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Finding the Fourth Proportional to 396.30, 547.26 and 286.53

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Solution

The fourth proportional to 396.30, 547.26 and 286.53 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.30 : 547.26 = 286.53 : x
  2. Step 2: Convert to fraction form
    396.30/547.26 = 286.53/x
  3. Step 3: Cross multiply
    396.30x = 547.26 × 286.53
  4. Step 4: Simplify right side
    396.30x = 156,806.41
  5. Step 5: Solve for x
    x = 156,806.41/396.30
  6. Step 6: Final answer
    x = 395.68

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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.