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Finding the Fourth Proportional to 276.94, 380.87 and 221.59

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Solution

The fourth proportional to 276.94, 380.87 and 221.59 is: 304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.94 : 380.87 = 221.59 : x
  2. Step 2: Convert to fraction form
    276.94/380.87 = 221.59/x
  3. Step 3: Cross multiply
    276.94x = 380.87 × 221.59
  4. Step 4: Simplify right side
    276.94x = 84,395.04
  5. Step 5: Solve for x
    x = 84,395.04/276.94
  6. Step 6: Final answer
    x = 304.75

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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.