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Finding the Fourth Proportional to 274.11, 408.92 and 244.72

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Solution

The fourth proportional to 274.11, 408.92 and 244.72 is: 365.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.11 : 408.92 = 244.72 : x
  2. Step 2: Convert to fraction form
    274.11/408.92 = 244.72/x
  3. Step 3: Cross multiply
    274.11x = 408.92 × 244.72
  4. Step 4: Simplify right side
    274.11x = 100,070.90
  5. Step 5: Solve for x
    x = 100,070.90/274.11
  6. Step 6: Final answer
    x = 365.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.