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Finding the Fourth Proportional to 120.97, 180.55 and 109.50

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Solution

The fourth proportional to 120.97, 180.55 and 109.50 is: 163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.97 : 180.55 = 109.50 : x
  2. Step 2: Convert to fraction form
    120.97/180.55 = 109.50/x
  3. Step 3: Cross multiply
    120.97x = 180.55 × 109.50
  4. Step 4: Simplify right side
    120.97x = 19,768.77
  5. Step 5: Solve for x
    x = 19,768.77/120.97
  6. Step 6: Final answer
    x = 163.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.