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Finding the Fourth Proportional to 276.11, 381.09 and 171.35

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Solution

The fourth proportional to 276.11, 381.09 and 171.35 is: 236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.11 : 381.09 = 171.35 : x
  2. Step 2: Convert to fraction form
    276.11/381.09 = 171.35/x
  3. Step 3: Cross multiply
    276.11x = 381.09 × 171.35
  4. Step 4: Simplify right side
    276.11x = 65,297.87
  5. Step 5: Solve for x
    x = 65,297.87/276.11
  6. Step 6: Final answer
    x = 236.50

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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.