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Finding the Fourth Proportional to 271.64, 404.26 and 254.42

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Solution

The fourth proportional to 271.64, 404.26 and 254.42 is: 378.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.64 : 404.26 = 254.42 : x
  2. Step 2: Convert to fraction form
    271.64/404.26 = 254.42/x
  3. Step 3: Cross multiply
    271.64x = 404.26 × 254.42
  4. Step 4: Simplify right side
    271.64x = 102,851.83
  5. Step 5: Solve for x
    x = 102,851.83/271.64
  6. Step 6: Final answer
    x = 378.63

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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.