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Finding the Fourth Proportional to 396.29, 543.95 and 379.38

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Solution

The fourth proportional to 396.29, 543.95 and 379.38 is: 520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.29 : 543.95 = 379.38 : x
  2. Step 2: Convert to fraction form
    396.29/543.95 = 379.38/x
  3. Step 3: Cross multiply
    396.29x = 543.95 × 379.38
  4. Step 4: Simplify right side
    396.29x = 206,364.39
  5. Step 5: Solve for x
    x = 206,364.39/396.29
  6. Step 6: Final answer
    x = 520.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.