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Finding the Fourth Proportional to 276.40, 381.54 and 189.46

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Solution

The fourth proportional to 276.40, 381.54 and 189.46 is: 261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.40 : 381.54 = 189.46 : x
  2. Step 2: Convert to fraction form
    276.40/381.54 = 189.46/x
  3. Step 3: Cross multiply
    276.40x = 381.54 × 189.46
  4. Step 4: Simplify right side
    276.40x = 72,286.57
  5. Step 5: Solve for x
    x = 72,286.57/276.40
  6. Step 6: Final answer
    x = 261.53

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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.