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Finding the Fourth Proportional to 271.71, 408.08 and 169.18

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Solution

The fourth proportional to 271.71, 408.08 and 169.18 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.71 : 408.08 = 169.18 : x
  2. Step 2: Convert to fraction form
    271.71/408.08 = 169.18/x
  3. Step 3: Cross multiply
    271.71x = 408.08 × 169.18
  4. Step 4: Simplify right side
    271.71x = 69,038.97
  5. Step 5: Solve for x
    x = 69,038.97/271.71
  6. Step 6: Final answer
    x = 254.09

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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.