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Finding the Fourth Proportional to 271.91, 408.21 and 174.41

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Solution

The fourth proportional to 271.91, 408.21 and 174.41 is: 261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.91 : 408.21 = 174.41 : x
  2. Step 2: Convert to fraction form
    271.91/408.21 = 174.41/x
  3. Step 3: Cross multiply
    271.91x = 408.21 × 174.41
  4. Step 4: Simplify right side
    271.91x = 71,193.87
  5. Step 5: Solve for x
    x = 71,193.87/271.91
  6. Step 6: Final answer
    x = 261.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.