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Finding the Fourth Proportional to 182.11, 272.91 and 73.78

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Solution

The fourth proportional to 182.11, 272.91 and 73.78 is: 110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 272.91 = 73.78 : x
  2. Step 2: Convert to fraction form
    182.11/272.91 = 73.78/x
  3. Step 3: Cross multiply
    182.11x = 272.91 × 73.78
  4. Step 4: Simplify right side
    182.11x = 20,135.30
  5. Step 5: Solve for x
    x = 20,135.30/182.11
  6. Step 6: Final answer
    x = 110.57

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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.