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Finding the Fourth Proportional to 271.20, 408.38 and 263.12

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Solution

The fourth proportional to 271.20, 408.38 and 263.12 is: 396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.20 : 408.38 = 263.12 : x
  2. Step 2: Convert to fraction form
    271.20/408.38 = 263.12/x
  3. Step 3: Cross multiply
    271.20x = 408.38 × 263.12
  4. Step 4: Simplify right side
    271.20x = 107,454.62
  5. Step 5: Solve for x
    x = 107,454.62/271.20
  6. Step 6: Final answer
    x = 396.22

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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.