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Finding the Fourth Proportional to 274.22, 408.91 and 271.78

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Solution

The fourth proportional to 274.22, 408.91 and 271.78 is: 405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.22 : 408.91 = 271.78 : x
  2. Step 2: Convert to fraction form
    274.22/408.91 = 271.78/x
  3. Step 3: Cross multiply
    274.22x = 408.91 × 271.78
  4. Step 4: Simplify right side
    274.22x = 111,133.56
  5. Step 5: Solve for x
    x = 111,133.56/274.22
  6. Step 6: Final answer
    x = 405.27

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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.