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Finding the Fourth Proportional to 120.09, 180.12 and 33.42

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Solution

The fourth proportional to 120.09, 180.12 and 33.42 is: 50.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 180.12 = 33.42 : x
  2. Step 2: Convert to fraction form
    120.09/180.12 = 33.42/x
  3. Step 3: Cross multiply
    120.09x = 180.12 × 33.42
  4. Step 4: Simplify right side
    120.09x = 6,020.41
  5. Step 5: Solve for x
    x = 6,020.41/120.09
  6. Step 6: Final answer
    x = 50.13

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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.