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Finding the Fourth Proportional to 276.13, 380.04 and 263.82

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Solution

The fourth proportional to 276.13, 380.04 and 263.82 is: 363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 380.04 = 263.82 : x
  2. Step 2: Convert to fraction form
    276.13/380.04 = 263.82/x
  3. Step 3: Cross multiply
    276.13x = 380.04 × 263.82
  4. Step 4: Simplify right side
    276.13x = 100,264.07
  5. Step 5: Solve for x
    x = 100,264.07/276.13
  6. Step 6: Final answer
    x = 363.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.