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Finding the Fourth Proportional to 271.72, 408.66 and 246.88

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Solution

The fourth proportional to 271.72, 408.66 and 246.88 is: 371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 408.66 = 246.88 : x
  2. Step 2: Convert to fraction form
    271.72/408.66 = 246.88/x
  3. Step 3: Cross multiply
    271.72x = 408.66 × 246.88
  4. Step 4: Simplify right side
    271.72x = 100,889.98
  5. Step 5: Solve for x
    x = 100,889.98/271.72
  6. Step 6: Final answer
    x = 371.30

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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.