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Finding the Fourth Proportional to 181.38, 271.62 and 120.42

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Solution

The fourth proportional to 181.38, 271.62 and 120.42 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 271.62 = 120.42 : x
  2. Step 2: Convert to fraction form
    181.38/271.62 = 120.42/x
  3. Step 3: Cross multiply
    181.38x = 271.62 × 120.42
  4. Step 4: Simplify right side
    181.38x = 32,708.48
  5. Step 5: Solve for x
    x = 32,708.48/181.38
  6. Step 6: Final answer
    x = 180.33

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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.