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Finding the Fourth Proportional to 396.55, 594.36 and 165.39

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Solution

The fourth proportional to 396.55, 594.36 and 165.39 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.55 : 594.36 = 165.39 : x
  2. Step 2: Convert to fraction form
    396.55/594.36 = 165.39/x
  3. Step 3: Cross multiply
    396.55x = 594.36 × 165.39
  4. Step 4: Simplify right side
    396.55x = 98,302.78
  5. Step 5: Solve for x
    x = 98,302.78/396.55
  6. Step 6: Final answer
    x = 247.90

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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.