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Finding the Fourth Proportional to 188.73, 281.34 and 186.57

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Solution

The fourth proportional to 188.73, 281.34 and 186.57 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.73 : 281.34 = 186.57 : x
  2. Step 2: Convert to fraction form
    188.73/281.34 = 186.57/x
  3. Step 3: Cross multiply
    188.73x = 281.34 × 186.57
  4. Step 4: Simplify right side
    188.73x = 52,489.60
  5. Step 5: Solve for x
    x = 52,489.60/188.73
  6. Step 6: Final answer
    x = 278.12

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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.