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Finding the Fourth Proportional to 186.92, 257.97 and 134.45

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Solution

The fourth proportional to 186.92, 257.97 and 134.45 is: 185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.92 : 257.97 = 134.45 : x
  2. Step 2: Convert to fraction form
    186.92/257.97 = 134.45/x
  3. Step 3: Cross multiply
    186.92x = 257.97 × 134.45
  4. Step 4: Simplify right side
    186.92x = 34,684.07
  5. Step 5: Solve for x
    x = 34,684.07/186.92
  6. Step 6: Final answer
    x = 185.56

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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.