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Finding the Fourth Proportional to 396.28, 593.88 and 249.67

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Solution

The fourth proportional to 396.28, 593.88 and 249.67 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.28 : 593.88 = 249.67 : x
  2. Step 2: Convert to fraction form
    396.28/593.88 = 249.67/x
  3. Step 3: Cross multiply
    396.28x = 593.88 × 249.67
  4. Step 4: Simplify right side
    396.28x = 148,274.02
  5. Step 5: Solve for x
    x = 148,274.02/396.28
  6. Step 6: Final answer
    x = 374.16

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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.