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Finding the Fourth Proportional to 276.20, 380.39 and 253.15

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Solution

The fourth proportional to 276.20, 380.39 and 253.15 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.20 : 380.39 = 253.15 : x
  2. Step 2: Convert to fraction form
    276.20/380.39 = 253.15/x
  3. Step 3: Cross multiply
    276.20x = 380.39 × 253.15
  4. Step 4: Simplify right side
    276.20x = 96,295.73
  5. Step 5: Solve for x
    x = 96,295.73/276.20
  6. Step 6: Final answer
    x = 348.64

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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.