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Finding the Fourth Proportional to 120.37, 180.22 and 100.16

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Solution

The fourth proportional to 120.37, 180.22 and 100.16 is: 149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 180.22 = 100.16 : x
  2. Step 2: Convert to fraction form
    120.37/180.22 = 100.16/x
  3. Step 3: Cross multiply
    120.37x = 180.22 × 100.16
  4. Step 4: Simplify right side
    120.37x = 18,049.87
  5. Step 5: Solve for x
    x = 18,049.87/120.37
  6. Step 6: Final answer
    x = 149.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.