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Finding the Fourth Proportional to 276.97, 382.22 and 189.67

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Solution

The fourth proportional to 276.97, 382.22 and 189.67 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 382.22 = 189.67 : x
  2. Step 2: Convert to fraction form
    276.97/382.22 = 189.67/x
  3. Step 3: Cross multiply
    276.97x = 382.22 × 189.67
  4. Step 4: Simplify right side
    276.97x = 72,495.67
  5. Step 5: Solve for x
    x = 72,495.67/276.97
  6. Step 6: Final answer
    x = 261.75

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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.