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Finding the Fourth Proportional to 274.23, 411.33 and 81.87

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Solution

The fourth proportional to 274.23, 411.33 and 81.87 is: 122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.23 : 411.33 = 81.87 : x
  2. Step 2: Convert to fraction form
    274.23/411.33 = 81.87/x
  3. Step 3: Cross multiply
    274.23x = 411.33 × 81.87
  4. Step 4: Simplify right side
    274.23x = 33,675.59
  5. Step 5: Solve for x
    x = 33,675.59/274.23
  6. Step 6: Final answer
    x = 122.80

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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.