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Finding the Fourth Proportional to 188.67, 281.47 and 179.97

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Solution

The fourth proportional to 188.67, 281.47 and 179.97 is: 268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.67 : 281.47 = 179.97 : x
  2. Step 2: Convert to fraction form
    188.67/281.47 = 179.97/x
  3. Step 3: Cross multiply
    188.67x = 281.47 × 179.97
  4. Step 4: Simplify right side
    188.67x = 50,656.16
  5. Step 5: Solve for x
    x = 50,656.16/188.67
  6. Step 6: Final answer
    x = 268.49

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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.