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Finding the Fourth Proportional to 186.91, 258.41 and 163.83

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Solution

The fourth proportional to 186.91, 258.41 and 163.83 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.91 : 258.41 = 163.83 : x
  2. Step 2: Convert to fraction form
    186.91/258.41 = 163.83/x
  3. Step 3: Cross multiply
    186.91x = 258.41 × 163.83
  4. Step 4: Simplify right side
    186.91x = 42,335.31
  5. Step 5: Solve for x
    x = 42,335.31/186.91
  6. Step 6: Final answer
    x = 226.50

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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.