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Finding the Fourth Proportional to 382.38, 523.85 and 367.80

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Solution

The fourth proportional to 382.38, 523.85 and 367.80 is: 503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.38 : 523.85 = 367.80 : x
  2. Step 2: Convert to fraction form
    382.38/523.85 = 367.80/x
  3. Step 3: Cross multiply
    382.38x = 523.85 × 367.80
  4. Step 4: Simplify right side
    382.38x = 192,672.03
  5. Step 5: Solve for x
    x = 192,672.03/382.38
  6. Step 6: Final answer
    x = 503.88

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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.