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Finding the Fourth Proportional to 396.35, 594.15 and 213.56

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Solution

The fourth proportional to 396.35, 594.15 and 213.56 is: 320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.35 : 594.15 = 213.56 : x
  2. Step 2: Convert to fraction form
    396.35/594.15 = 213.56/x
  3. Step 3: Cross multiply
    396.35x = 594.15 × 213.56
  4. Step 4: Simplify right side
    396.35x = 126,883.70
  5. Step 5: Solve for x
    x = 126,883.70/396.35
  6. Step 6: Final answer
    x = 320.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.