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Finding the Fourth Proportional to 277.70, 380.97 and 270.54

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Solution

The fourth proportional to 277.70, 380.97 and 270.54 is: 371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 380.97 = 270.54 : x
  2. Step 2: Convert to fraction form
    277.70/380.97 = 270.54/x
  3. Step 3: Cross multiply
    277.70x = 380.97 × 270.54
  4. Step 4: Simplify right side
    277.70x = 103,067.62
  5. Step 5: Solve for x
    x = 103,067.62/277.70
  6. Step 6: Final answer
    x = 371.15

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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.