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Finding the Fourth Proportional to 188.78, 281.80 and 163.26

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Solution

The fourth proportional to 188.78, 281.80 and 163.26 is: 243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.78 : 281.80 = 163.26 : x
  2. Step 2: Convert to fraction form
    188.78/281.80 = 163.26/x
  3. Step 3: Cross multiply
    188.78x = 281.80 × 163.26
  4. Step 4: Simplify right side
    188.78x = 46,006.67
  5. Step 5: Solve for x
    x = 46,006.67/188.78
  6. Step 6: Final answer
    x = 243.71

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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.