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Finding the Fourth Proportional to 186.92, 281.37 and 170.18

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Solution

The fourth proportional to 186.92, 281.37 and 170.18 is: 256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.92 : 281.37 = 170.18 : x
  2. Step 2: Convert to fraction form
    186.92/281.37 = 170.18/x
  3. Step 3: Cross multiply
    186.92x = 281.37 × 170.18
  4. Step 4: Simplify right side
    186.92x = 47,882.14
  5. Step 5: Solve for x
    x = 47,882.14/186.92
  6. Step 6: Final answer
    x = 256.17

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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.