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Finding the Fourth Proportional to 552.27, 761.25 and 355.44

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Solution

The fourth proportional to 552.27, 761.25 and 355.44 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 761.25 = 355.44 : x
  2. Step 2: Convert to fraction form
    552.27/761.25 = 355.44/x
  3. Step 3: Cross multiply
    552.27x = 761.25 × 355.44
  4. Step 4: Simplify right side
    552.27x = 270,578.70
  5. Step 5: Solve for x
    x = 270,578.70/552.27
  6. Step 6: Final answer
    x = 489.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.