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Finding the Fourth Proportional to 396.82, 594.82 and 191.32

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Solution

The fourth proportional to 396.82, 594.82 and 191.32 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.82 : 594.82 = 191.32 : x
  2. Step 2: Convert to fraction form
    396.82/594.82 = 191.32/x
  3. Step 3: Cross multiply
    396.82x = 594.82 × 191.32
  4. Step 4: Simplify right side
    396.82x = 113,800.96
  5. Step 5: Solve for x
    x = 113,800.96/396.82
  6. Step 6: Final answer
    x = 286.78

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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.