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Finding the Fourth Proportional to 276.30, 379.25 and 264.42

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Solution

The fourth proportional to 276.30, 379.25 and 264.42 is: 362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.30 : 379.25 = 264.42 : x
  2. Step 2: Convert to fraction form
    276.30/379.25 = 264.42/x
  3. Step 3: Cross multiply
    276.30x = 379.25 × 264.42
  4. Step 4: Simplify right side
    276.30x = 100,279.96
  5. Step 5: Solve for x
    x = 100,279.96/276.30
  6. Step 6: Final answer
    x = 362.94

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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.