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Finding the Fourth Proportional to 376.80, 516.68 and 363.78

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Solution

The fourth proportional to 376.80, 516.68 and 363.78 is: 498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.80 : 516.68 = 363.78 : x
  2. Step 2: Convert to fraction form
    376.80/516.68 = 363.78/x
  3. Step 3: Cross multiply
    376.80x = 516.68 × 363.78
  4. Step 4: Simplify right side
    376.80x = 187,956.03
  5. Step 5: Solve for x
    x = 187,956.03/376.80
  6. Step 6: Final answer
    x = 498.82

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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.