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Finding the Fourth Proportional to 122.73, 170.01 and 120.30

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Solution

The fourth proportional to 122.73, 170.01 and 120.30 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.73 : 170.01 = 120.30 : x
  2. Step 2: Convert to fraction form
    122.73/170.01 = 120.30/x
  3. Step 3: Cross multiply
    122.73x = 170.01 × 120.30
  4. Step 4: Simplify right side
    122.73x = 20,451.57
  5. Step 5: Solve for x
    x = 20,451.57/122.73
  6. Step 6: Final answer
    x = 166.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.