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Finding the Fourth Proportional to 276.67, 379.05 and 266.29

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Solution

The fourth proportional to 276.67, 379.05 and 266.29 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.67 : 379.05 = 266.29 : x
  2. Step 2: Convert to fraction form
    276.67/379.05 = 266.29/x
  3. Step 3: Cross multiply
    276.67x = 379.05 × 266.29
  4. Step 4: Simplify right side
    276.67x = 100,937.22
  5. Step 5: Solve for x
    x = 100,937.22/276.67
  6. Step 6: Final answer
    x = 364.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.