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Finding the Fourth Proportional to 188.56, 281.38 and 166.96

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Solution

The fourth proportional to 188.56, 281.38 and 166.96 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.56 : 281.38 = 166.96 : x
  2. Step 2: Convert to fraction form
    188.56/281.38 = 166.96/x
  3. Step 3: Cross multiply
    188.56x = 281.38 × 166.96
  4. Step 4: Simplify right side
    188.56x = 46,979.20
  5. Step 5: Solve for x
    x = 46,979.20/188.56
  6. Step 6: Final answer
    x = 249.15

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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.