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Finding the Fourth Proportional to 181.14, 271.82 and 78.42

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Solution

The fourth proportional to 181.14, 271.82 and 78.42 is: 117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 271.82 = 78.42 : x
  2. Step 2: Convert to fraction form
    181.14/271.82 = 78.42/x
  3. Step 3: Cross multiply
    181.14x = 271.82 × 78.42
  4. Step 4: Simplify right side
    181.14x = 21,315.73
  5. Step 5: Solve for x
    x = 21,315.73/181.14
  6. Step 6: Final answer
    x = 117.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.