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Finding the Fourth Proportional to 189.95, 284.97 and 80.27

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Solution

The fourth proportional to 189.95, 284.97 and 80.27 is: 120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 284.97 = 80.27 : x
  2. Step 2: Convert to fraction form
    189.95/284.97 = 80.27/x
  3. Step 3: Cross multiply
    189.95x = 284.97 × 80.27
  4. Step 4: Simplify right side
    189.95x = 22,874.54
  5. Step 5: Solve for x
    x = 22,874.54/189.95
  6. Step 6: Final answer
    x = 120.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.