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Finding the Fourth Proportional to 516.41, 773.56 and 272.42

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Solution

The fourth proportional to 516.41, 773.56 and 272.42 is: 408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.41 : 773.56 = 272.42 : x
  2. Step 2: Convert to fraction form
    516.41/773.56 = 272.42/x
  3. Step 3: Cross multiply
    516.41x = 773.56 × 272.42
  4. Step 4: Simplify right side
    516.41x = 210,733.22
  5. Step 5: Solve for x
    x = 210,733.22/516.41
  6. Step 6: Final answer
    x = 408.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.