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Finding the Fourth Proportional to 274.71, 411.97 and 112.31

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Solution

The fourth proportional to 274.71, 411.97 and 112.31 is: 168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.71 : 411.97 = 112.31 : x
  2. Step 2: Convert to fraction form
    274.71/411.97 = 112.31/x
  3. Step 3: Cross multiply
    274.71x = 411.97 × 112.31
  4. Step 4: Simplify right side
    274.71x = 46,268.35
  5. Step 5: Solve for x
    x = 46,268.35/274.71
  6. Step 6: Final answer
    x = 168.43

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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.