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Finding the Fourth Proportional to 186.86, 257.87 and 103.97

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Solution

The fourth proportional to 186.86, 257.87 and 103.97 is: 143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 257.87 = 103.97 : x
  2. Step 2: Convert to fraction form
    186.86/257.87 = 103.97/x
  3. Step 3: Cross multiply
    186.86x = 257.87 × 103.97
  4. Step 4: Simplify right side
    186.86x = 26,811.06
  5. Step 5: Solve for x
    x = 26,811.06/186.86
  6. Step 6: Final answer
    x = 143.48

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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.