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Finding the Fourth Proportional to 271.86, 409.91 and 268.44

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Solution

The fourth proportional to 271.86, 409.91 and 268.44 is: 404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.86 : 409.91 = 268.44 : x
  2. Step 2: Convert to fraction form
    271.86/409.91 = 268.44/x
  3. Step 3: Cross multiply
    271.86x = 409.91 × 268.44
  4. Step 4: Simplify right side
    271.86x = 110,036.02
  5. Step 5: Solve for x
    x = 110,036.02/271.86
  6. Step 6: Final answer
    x = 404.76

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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.