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Finding the Fourth Proportional to 271.01, 404.38 and 254.48

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Solution

The fourth proportional to 271.01, 404.38 and 254.48 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.01 : 404.38 = 254.48 : x
  2. Step 2: Convert to fraction form
    271.01/404.38 = 254.48/x
  3. Step 3: Cross multiply
    271.01x = 404.38 × 254.48
  4. Step 4: Simplify right side
    271.01x = 102,903.96
  5. Step 5: Solve for x
    x = 102,903.96/271.01
  6. Step 6: Final answer
    x = 379.71

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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.