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Finding the Fourth Proportional to 181.78, 271.12 and 163.42

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Solution

The fourth proportional to 181.78, 271.12 and 163.42 is: 243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.78 : 271.12 = 163.42 : x
  2. Step 2: Convert to fraction form
    181.78/271.12 = 163.42/x
  3. Step 3: Cross multiply
    181.78x = 271.12 × 163.42
  4. Step 4: Simplify right side
    181.78x = 44,306.43
  5. Step 5: Solve for x
    x = 44,306.43/181.78
  6. Step 6: Final answer
    x = 243.74

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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.