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Finding the Fourth Proportional to 276.52, 381.78 and 229.96

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Solution

The fourth proportional to 276.52, 381.78 and 229.96 is: 317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 381.78 = 229.96 : x
  2. Step 2: Convert to fraction form
    276.52/381.78 = 229.96/x
  3. Step 3: Cross multiply
    276.52x = 381.78 × 229.96
  4. Step 4: Simplify right side
    276.52x = 87,794.13
  5. Step 5: Solve for x
    x = 87,794.13/276.52
  6. Step 6: Final answer
    x = 317.50

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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.