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Finding the Fourth Proportional to 120.81, 181.38 and 111.27

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Solution

The fourth proportional to 120.81, 181.38 and 111.27 is: 167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.81 : 181.38 = 111.27 : x
  2. Step 2: Convert to fraction form
    120.81/181.38 = 111.27/x
  3. Step 3: Cross multiply
    120.81x = 181.38 × 111.27
  4. Step 4: Simplify right side
    120.81x = 20,182.15
  5. Step 5: Solve for x
    x = 20,182.15/120.81
  6. Step 6: Final answer
    x = 167.06

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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.