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Finding the Fourth Proportional to 516.52, 774.48 and 242.44

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Solution

The fourth proportional to 516.52, 774.48 and 242.44 is: 363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.52 : 774.48 = 242.44 : x
  2. Step 2: Convert to fraction form
    516.52/774.48 = 242.44/x
  3. Step 3: Cross multiply
    516.52x = 774.48 × 242.44
  4. Step 4: Simplify right side
    516.52x = 187,764.93
  5. Step 5: Solve for x
    x = 187,764.93/516.52
  6. Step 6: Final answer
    x = 363.52

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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.