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Finding the Fourth Proportional to 276.12, 411.30 and 263.64

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Solution

The fourth proportional to 276.12, 411.30 and 263.64 is: 392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 411.30 = 263.64 : x
  2. Step 2: Convert to fraction form
    276.12/411.30 = 263.64/x
  3. Step 3: Cross multiply
    276.12x = 411.30 × 263.64
  4. Step 4: Simplify right side
    276.12x = 108,435.13
  5. Step 5: Solve for x
    x = 108,435.13/276.12
  6. Step 6: Final answer
    x = 392.71

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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.