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Finding the Fourth Proportional to 186.82, 257.84 and 108.17

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Solution

The fourth proportional to 186.82, 257.84 and 108.17 is: 149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 257.84 = 108.17 : x
  2. Step 2: Convert to fraction form
    186.82/257.84 = 108.17/x
  3. Step 3: Cross multiply
    186.82x = 257.84 × 108.17
  4. Step 4: Simplify right side
    186.82x = 27,890.10
  5. Step 5: Solve for x
    x = 27,890.10/186.82
  6. Step 6: Final answer
    x = 149.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.