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Finding the Fourth Proportional to 271.45, 405.17 and 249.76

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Solution

The fourth proportional to 271.45, 405.17 and 249.76 is: 372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.45 : 405.17 = 249.76 : x
  2. Step 2: Convert to fraction form
    271.45/405.17 = 249.76/x
  3. Step 3: Cross multiply
    271.45x = 405.17 × 249.76
  4. Step 4: Simplify right side
    271.45x = 101,195.26
  5. Step 5: Solve for x
    x = 101,195.26/271.45
  6. Step 6: Final answer
    x = 372.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.