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Finding the Fourth Proportional to 376.56, 523.26 and 371.97

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Solution

The fourth proportional to 376.56, 523.26 and 371.97 is: 516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.56 : 523.26 = 371.97 : x
  2. Step 2: Convert to fraction form
    376.56/523.26 = 371.97/x
  3. Step 3: Cross multiply
    376.56x = 523.26 × 371.97
  4. Step 4: Simplify right side
    376.56x = 194,637.02
  5. Step 5: Solve for x
    x = 194,637.02/376.56
  6. Step 6: Final answer
    x = 516.88

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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.