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Finding the Fourth Proportional to 186.44, 281.33 and 178.95

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Solution

The fourth proportional to 186.44, 281.33 and 178.95 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.44 : 281.33 = 178.95 : x
  2. Step 2: Convert to fraction form
    186.44/281.33 = 178.95/x
  3. Step 3: Cross multiply
    186.44x = 281.33 × 178.95
  4. Step 4: Simplify right side
    186.44x = 50,344.00
  5. Step 5: Solve for x
    x = 50,344.00/186.44
  6. Step 6: Final answer
    x = 270.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.