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Finding the Fourth Proportional to 276.66, 411.89 and 262.71

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Solution

The fourth proportional to 276.66, 411.89 and 262.71 is: 391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.66 : 411.89 = 262.71 : x
  2. Step 2: Convert to fraction form
    276.66/411.89 = 262.71/x
  3. Step 3: Cross multiply
    276.66x = 411.89 × 262.71
  4. Step 4: Simplify right side
    276.66x = 108,206.31
  5. Step 5: Solve for x
    x = 108,206.31/276.66
  6. Step 6: Final answer
    x = 391.12

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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.