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Finding the Fourth Proportional to 186.73, 257.69 and 103.84

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Solution

The fourth proportional to 186.73, 257.69 and 103.84 is: 143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.73 : 257.69 = 103.84 : x
  2. Step 2: Convert to fraction form
    186.73/257.69 = 103.84/x
  3. Step 3: Cross multiply
    186.73x = 257.69 × 103.84
  4. Step 4: Simplify right side
    186.73x = 26,757.56
  5. Step 5: Solve for x
    x = 26,757.56/186.73
  6. Step 6: Final answer
    x = 143.30

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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.