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Finding the Fourth Proportional to 274.81, 378.22 and 240.97

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Solution

The fourth proportional to 274.81, 378.22 and 240.97 is: 331.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.81 : 378.22 = 240.97 : x
  2. Step 2: Convert to fraction form
    274.81/378.22 = 240.97/x
  3. Step 3: Cross multiply
    274.81x = 378.22 × 240.97
  4. Step 4: Simplify right side
    274.81x = 91,138.47
  5. Step 5: Solve for x
    x = 91,138.47/274.81
  6. Step 6: Final answer
    x = 331.65

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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.