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Finding the Fourth Proportional to 381.42, 523.17 and 367.74

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Solution

The fourth proportional to 381.42, 523.17 and 367.74 is: 504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 523.17 = 367.74 : x
  2. Step 2: Convert to fraction form
    381.42/523.17 = 367.74/x
  3. Step 3: Cross multiply
    381.42x = 523.17 × 367.74
  4. Step 4: Simplify right side
    381.42x = 192,390.54
  5. Step 5: Solve for x
    x = 192,390.54/381.42
  6. Step 6: Final answer
    x = 504.41

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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.