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Finding the Fourth Proportional to 276.40, 380.99 and 232.05

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Solution

The fourth proportional to 276.40, 380.99 and 232.05 is: 319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 380.99 = 232.05 : x
  2. Step 2: Convert to fraction form
    276.40/380.99 = 232.05/x
  3. Step 3: Cross multiply
    276.40x = 380.99 × 232.05
  4. Step 4: Simplify right side
    276.40x = 88,407.29
  5. Step 5: Solve for x
    x = 88,407.29/276.40
  6. Step 6: Final answer
    x = 319.86

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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.