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Finding the Fourth Proportional to 186.92, 257.96 and 137.80

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Solution

The fourth proportional to 186.92, 257.96 and 137.80 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.92 : 257.96 = 137.80 : x
  2. Step 2: Convert to fraction form
    186.92/257.96 = 137.80/x
  3. Step 3: Cross multiply
    186.92x = 257.96 × 137.80
  4. Step 4: Simplify right side
    186.92x = 35,546.89
  5. Step 5: Solve for x
    x = 35,546.89/186.92
  6. Step 6: Final answer
    x = 190.17

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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.