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Finding the Fourth Proportional to 275.97, 381.09 and 251.36

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Solution

The fourth proportional to 275.97, 381.09 and 251.36 is: 347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.97 : 381.09 = 251.36 : x
  2. Step 2: Convert to fraction form
    275.97/381.09 = 251.36/x
  3. Step 3: Cross multiply
    275.97x = 381.09 × 251.36
  4. Step 4: Simplify right side
    275.97x = 95,791.98
  5. Step 5: Solve for x
    x = 95,791.98/275.97
  6. Step 6: Final answer
    x = 347.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.