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Finding the Fourth Proportional to 181.85, 273.04 and 120.83

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Solution

The fourth proportional to 181.85, 273.04 and 120.83 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.85 : 273.04 = 120.83 : x
  2. Step 2: Convert to fraction form
    181.85/273.04 = 120.83/x
  3. Step 3: Cross multiply
    181.85x = 273.04 × 120.83
  4. Step 4: Simplify right side
    181.85x = 32,989.76
  5. Step 5: Solve for x
    x = 32,989.76/181.85
  6. Step 6: Final answer
    x = 181.42

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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.