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Finding the Fourth Proportional to 188.56, 280.85 and 182.44

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Solution

The fourth proportional to 188.56, 280.85 and 182.44 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 280.85 = 182.44 : x
  2. Step 2: Convert to fraction form
    188.56/280.85 = 182.44/x
  3. Step 3: Cross multiply
    188.56x = 280.85 × 182.44
  4. Step 4: Simplify right side
    188.56x = 51,238.27
  5. Step 5: Solve for x
    x = 51,238.27/188.56
  6. Step 6: Final answer
    x = 271.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.