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Finding the Fourth Proportional to 271.52, 404.42 and 254.64

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Solution

The fourth proportional to 271.52, 404.42 and 254.64 is: 379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.52 : 404.42 = 254.64 : x
  2. Step 2: Convert to fraction form
    271.52/404.42 = 254.64/x
  3. Step 3: Cross multiply
    271.52x = 404.42 × 254.64
  4. Step 4: Simplify right side
    271.52x = 102,981.51
  5. Step 5: Solve for x
    x = 102,981.51/271.52
  6. Step 6: Final answer
    x = 379.28

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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.