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Finding the Fourth Proportional to 186.69, 281.71 and 179.20

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Solution

The fourth proportional to 186.69, 281.71 and 179.20 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 281.71 = 179.20 : x
  2. Step 2: Convert to fraction form
    186.69/281.71 = 179.20/x
  3. Step 3: Cross multiply
    186.69x = 281.71 × 179.20
  4. Step 4: Simplify right side
    186.69x = 50,481.28
  5. Step 5: Solve for x
    x = 50,481.28/186.69
  6. Step 6: Final answer
    x = 270.40

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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.