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Finding the Fourth Proportional to 381.30, 523.56 and 381.30

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Solution

The fourth proportional to 381.30, 523.56 and 381.30 is: 523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 523.56 = 381.30 : x
  2. Step 2: Convert to fraction form
    381.30/523.56 = 381.30/x
  3. Step 3: Cross multiply
    381.30x = 523.56 × 381.30
  4. Step 4: Simplify right side
    381.30x = 199,633.43
  5. Step 5: Solve for x
    x = 199,633.43/381.30
  6. Step 6: Final answer
    x = 523.56

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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.