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Finding the Fourth Proportional to 396.45, 593.82 and 288

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Solution

The fourth proportional to 396.45, 593.82 and 288 is: 431.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 593.82 = 288 : x
  2. Step 2: Convert to fraction form
    396.45/593.82 = 288/x
  3. Step 3: Cross multiply
    396.45x = 593.82 × 288
  4. Step 4: Simplify right side
    396.45x = 171,020.16
  5. Step 5: Solve for x
    x = 171,020.16/396.45
  6. Step 6: Final answer
    x = 431.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.