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Finding the Fourth Proportional to 271.78, 371.75 and 267.54

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Solution

The fourth proportional to 271.78, 371.75 and 267.54 is: 365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 371.75 = 267.54 : x
  2. Step 2: Convert to fraction form
    271.78/371.75 = 267.54/x
  3. Step 3: Cross multiply
    271.78x = 371.75 × 267.54
  4. Step 4: Simplify right side
    271.78x = 99,458.00
  5. Step 5: Solve for x
    x = 99,458.00/271.78
  6. Step 6: Final answer
    x = 365.95

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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.