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Finding the Fourth Proportional to 271.27, 408.29 and 203.16

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Solution

The fourth proportional to 271.27, 408.29 and 203.16 is: 305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.27 : 408.29 = 203.16 : x
  2. Step 2: Convert to fraction form
    271.27/408.29 = 203.16/x
  3. Step 3: Cross multiply
    271.27x = 408.29 × 203.16
  4. Step 4: Simplify right side
    271.27x = 82,948.20
  5. Step 5: Solve for x
    x = 82,948.20/271.27
  6. Step 6: Final answer
    x = 305.78

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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.