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Finding the Fourth Proportional to 396.95, 596.50 and 223.88

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Solution

The fourth proportional to 396.95, 596.50 and 223.88 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.95 : 596.50 = 223.88 : x
  2. Step 2: Convert to fraction form
    396.95/596.50 = 223.88/x
  3. Step 3: Cross multiply
    396.95x = 596.50 × 223.88
  4. Step 4: Simplify right side
    396.95x = 133,540.88
  5. Step 5: Solve for x
    x = 133,540.88/396.95
  6. Step 6: Final answer
    x = 336.42

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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.