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Finding the Fourth Proportional to 120.94, 180.15 and 119.35

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Solution

The fourth proportional to 120.94, 180.15 and 119.35 is: 177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 180.15 = 119.35 : x
  2. Step 2: Convert to fraction form
    120.94/180.15 = 119.35/x
  3. Step 3: Cross multiply
    120.94x = 180.15 × 119.35
  4. Step 4: Simplify right side
    120.94x = 21,500.90
  5. Step 5: Solve for x
    x = 21,500.90/120.94
  6. Step 6: Final answer
    x = 177.78

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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.