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Finding the Fourth Proportional to 396.90, 595.98 and 316.44

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Solution

The fourth proportional to 396.90, 595.98 and 316.44 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.90 : 595.98 = 316.44 : x
  2. Step 2: Convert to fraction form
    396.90/595.98 = 316.44/x
  3. Step 3: Cross multiply
    396.90x = 595.98 × 316.44
  4. Step 4: Simplify right side
    396.90x = 188,591.91
  5. Step 5: Solve for x
    x = 188,591.91/396.90
  6. Step 6: Final answer
    x = 475.16

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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.