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Finding the Fourth Proportional to 186.82, 278.82 and 181.96

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Solution

The fourth proportional to 186.82, 278.82 and 181.96 is: 271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 278.82 = 181.96 : x
  2. Step 2: Convert to fraction form
    186.82/278.82 = 181.96/x
  3. Step 3: Cross multiply
    186.82x = 278.82 × 181.96
  4. Step 4: Simplify right side
    186.82x = 50,735.34
  5. Step 5: Solve for x
    x = 50,735.34/186.82
  6. Step 6: Final answer
    x = 271.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.