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Finding the Fourth Proportional to 120.88, 180.11 and 120.40

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Solution

The fourth proportional to 120.88, 180.11 and 120.40 is: 179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 180.11 = 120.40 : x
  2. Step 2: Convert to fraction form
    120.88/180.11 = 120.40/x
  3. Step 3: Cross multiply
    120.88x = 180.11 × 120.40
  4. Step 4: Simplify right side
    120.88x = 21,685.24
  5. Step 5: Solve for x
    x = 21,685.24/120.88
  6. Step 6: Final answer
    x = 179.39

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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.