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Finding the Fourth Proportional to 271.70, 408.08 and 169.19

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Solution

The fourth proportional to 271.70, 408.08 and 169.19 is: 254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 408.08 = 169.19 : x
  2. Step 2: Convert to fraction form
    271.70/408.08 = 169.19/x
  3. Step 3: Cross multiply
    271.70x = 408.08 × 169.19
  4. Step 4: Simplify right side
    271.70x = 69,043.06
  5. Step 5: Solve for x
    x = 69,043.06/271.70
  6. Step 6: Final answer
    x = 254.12

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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.