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Finding the Fourth Proportional to 516.56, 774.08 and 272.34

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Solution

The fourth proportional to 516.56, 774.08 and 272.34 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.56 : 774.08 = 272.34 : x
  2. Step 2: Convert to fraction form
    516.56/774.08 = 272.34/x
  3. Step 3: Cross multiply
    516.56x = 774.08 × 272.34
  4. Step 4: Simplify right side
    516.56x = 210,812.95
  5. Step 5: Solve for x
    x = 210,812.95/516.56
  6. Step 6: Final answer
    x = 408.11

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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.