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Finding the Fourth Proportional to 189.73, 262.92 and 186.08

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Solution

The fourth proportional to 189.73, 262.92 and 186.08 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.73 : 262.92 = 186.08 : x
  2. Step 2: Convert to fraction form
    189.73/262.92 = 186.08/x
  3. Step 3: Cross multiply
    189.73x = 262.92 × 186.08
  4. Step 4: Simplify right side
    189.73x = 48,924.15
  5. Step 5: Solve for x
    x = 48,924.15/189.73
  6. Step 6: Final answer
    x = 257.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.