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Finding the Fourth Proportional to 396.62, 544.49 and 363.81

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Solution

The fourth proportional to 396.62, 544.49 and 363.81 is: 499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.62 : 544.49 = 363.81 : x
  2. Step 2: Convert to fraction form
    396.62/544.49 = 363.81/x
  3. Step 3: Cross multiply
    396.62x = 544.49 × 363.81
  4. Step 4: Simplify right side
    396.62x = 198,091.82
  5. Step 5: Solve for x
    x = 198,091.82/396.62
  6. Step 6: Final answer
    x = 499.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.