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Finding the Fourth Proportional to 396.35, 593.97 and 165.11

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Solution

The fourth proportional to 396.35, 593.97 and 165.11 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.35 : 593.97 = 165.11 : x
  2. Step 2: Convert to fraction form
    396.35/593.97 = 165.11/x
  3. Step 3: Cross multiply
    396.35x = 593.97 × 165.11
  4. Step 4: Simplify right side
    396.35x = 98,070.39
  5. Step 5: Solve for x
    x = 98,070.39/396.35
  6. Step 6: Final answer
    x = 247.43

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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.