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Finding the Fourth Proportional to 120.73, 182.01 and 119.70

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Solution

The fourth proportional to 120.73, 182.01 and 119.70 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.73 : 182.01 = 119.70 : x
  2. Step 2: Convert to fraction form
    120.73/182.01 = 119.70/x
  3. Step 3: Cross multiply
    120.73x = 182.01 × 119.70
  4. Step 4: Simplify right side
    120.73x = 21,786.60
  5. Step 5: Solve for x
    x = 21,786.60/120.73
  6. Step 6: Final answer
    x = 180.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.