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Finding the Fourth Proportional to 276.62, 381.77 and 202.97

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Solution

The fourth proportional to 276.62, 381.77 and 202.97 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.62 : 381.77 = 202.97 : x
  2. Step 2: Convert to fraction form
    276.62/381.77 = 202.97/x
  3. Step 3: Cross multiply
    276.62x = 381.77 × 202.97
  4. Step 4: Simplify right side
    276.62x = 77,486.46
  5. Step 5: Solve for x
    x = 77,486.46/276.62
  6. Step 6: Final answer
    x = 280.12

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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.