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Finding the Fourth Proportional to 276.32, 411.36 and 274.70

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Solution

The fourth proportional to 276.32, 411.36 and 274.70 is: 408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.32 : 411.36 = 274.70 : x
  2. Step 2: Convert to fraction form
    276.32/411.36 = 274.70/x
  3. Step 3: Cross multiply
    276.32x = 411.36 × 274.70
  4. Step 4: Simplify right side
    276.32x = 113,000.59
  5. Step 5: Solve for x
    x = 113,000.59/276.32
  6. Step 6: Final answer
    x = 408.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.