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Finding the Fourth Proportional to 186.69, 281.70 and 179.21

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Solution

The fourth proportional to 186.69, 281.70 and 179.21 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 281.70 = 179.21 : x
  2. Step 2: Convert to fraction form
    186.69/281.70 = 179.21/x
  3. Step 3: Cross multiply
    186.69x = 281.70 × 179.21
  4. Step 4: Simplify right side
    186.69x = 50,482.05
  5. Step 5: Solve for x
    x = 50,482.05/186.69
  6. Step 6: Final answer
    x = 270.41

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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.