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Finding the Fourth Proportional to 396.68, 550.40 and 385.34

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Solution

The fourth proportional to 396.68, 550.40 and 385.34 is: 534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.68 : 550.40 = 385.34 : x
  2. Step 2: Convert to fraction form
    396.68/550.40 = 385.34/x
  3. Step 3: Cross multiply
    396.68x = 550.40 × 385.34
  4. Step 4: Simplify right side
    396.68x = 212,086.46
  5. Step 5: Solve for x
    x = 212,086.46/396.68
  6. Step 6: Final answer
    x = 534.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.