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Finding the Fourth Proportional to 550.49, 825.75 and 272.97

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Solution

The fourth proportional to 550.49, 825.75 and 272.97 is: 409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.49 : 825.75 = 272.97 : x
  2. Step 2: Convert to fraction form
    550.49/825.75 = 272.97/x
  3. Step 3: Cross multiply
    550.49x = 825.75 × 272.97
  4. Step 4: Simplify right side
    550.49x = 225,404.98
  5. Step 5: Solve for x
    x = 225,404.98/550.49
  6. Step 6: Final answer
    x = 409.47

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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.