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Finding the Fourth Proportional to 396.28, 593.52 and 251.56

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Solution

The fourth proportional to 396.28, 593.52 and 251.56 is: 376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.28 : 593.52 = 251.56 : x
  2. Step 2: Convert to fraction form
    396.28/593.52 = 251.56/x
  3. Step 3: Cross multiply
    396.28x = 593.52 × 251.56
  4. Step 4: Simplify right side
    396.28x = 149,305.89
  5. Step 5: Solve for x
    x = 149,305.89/396.28
  6. Step 6: Final answer
    x = 376.77

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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.