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Finding the Fourth Proportional to 396.24, 593.28 and 258.96

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Solution

The fourth proportional to 396.24, 593.28 and 258.96 is: 387.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.24 : 593.28 = 258.96 : x
  2. Step 2: Convert to fraction form
    396.24/593.28 = 258.96/x
  3. Step 3: Cross multiply
    396.24x = 593.28 × 258.96
  4. Step 4: Simplify right side
    396.24x = 153,635.79
  5. Step 5: Solve for x
    x = 153,635.79/396.24
  6. Step 6: Final answer
    x = 387.73

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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.