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Finding the Fourth Proportional to 276.26, 381.26 and 151.92

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Solution

The fourth proportional to 276.26, 381.26 and 151.92 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.26 : 381.26 = 151.92 : x
  2. Step 2: Convert to fraction form
    276.26/381.26 = 151.92/x
  3. Step 3: Cross multiply
    276.26x = 381.26 × 151.92
  4. Step 4: Simplify right side
    276.26x = 57,921.02
  5. Step 5: Solve for x
    x = 57,921.02/276.26
  6. Step 6: Final answer
    x = 209.66

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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.