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Finding the Fourth Proportional to 271.17, 371.78 and 266.31

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Solution

The fourth proportional to 271.17, 371.78 and 266.31 is: 365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.17 : 371.78 = 266.31 : x
  2. Step 2: Convert to fraction form
    271.17/371.78 = 266.31/x
  3. Step 3: Cross multiply
    271.17x = 371.78 × 266.31
  4. Step 4: Simplify right side
    271.17x = 99,008.73
  5. Step 5: Solve for x
    x = 99,008.73/271.17
  6. Step 6: Final answer
    x = 365.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.