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Finding the Fourth Proportional to 120.50, 166.49 and 107.27

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Solution

The fourth proportional to 120.50, 166.49 and 107.27 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.50 : 166.49 = 107.27 : x
  2. Step 2: Convert to fraction form
    120.50/166.49 = 107.27/x
  3. Step 3: Cross multiply
    120.50x = 166.49 × 107.27
  4. Step 4: Simplify right side
    120.50x = 17,859.03
  5. Step 5: Solve for x
    x = 17,859.03/120.50
  6. Step 6: Final answer
    x = 148.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.