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Finding the Fourth Proportional to 396.12, 594.10 and 107.49

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Solution

The fourth proportional to 396.12, 594.10 and 107.49 is: 161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.12 : 594.10 = 107.49 : x
  2. Step 2: Convert to fraction form
    396.12/594.10 = 107.49/x
  3. Step 3: Cross multiply
    396.12x = 594.10 × 107.49
  4. Step 4: Simplify right side
    396.12x = 63,857.72
  5. Step 5: Solve for x
    x = 63,857.72/396.12
  6. Step 6: Final answer
    x = 161.21

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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.