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Finding the Fourth Proportional to 271.22, 408.52 and 252.21

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Solution

The fourth proportional to 271.22, 408.52 and 252.21 is: 379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.22 : 408.52 = 252.21 : x
  2. Step 2: Convert to fraction form
    271.22/408.52 = 252.21/x
  3. Step 3: Cross multiply
    271.22x = 408.52 × 252.21
  4. Step 4: Simplify right side
    271.22x = 103,030.96
  5. Step 5: Solve for x
    x = 103,030.96/271.22
  6. Step 6: Final answer
    x = 379.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.