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Finding the Fourth Proportional to 274.67, 411.96 and 82.25

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Solution

The fourth proportional to 274.67, 411.96 and 82.25 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.67 : 411.96 = 82.25 : x
  2. Step 2: Convert to fraction form
    274.67/411.96 = 82.25/x
  3. Step 3: Cross multiply
    274.67x = 411.96 × 82.25
  4. Step 4: Simplify right side
    274.67x = 33,883.71
  5. Step 5: Solve for x
    x = 33,883.71/274.67
  6. Step 6: Final answer
    x = 123.36

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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.