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Finding the Fourth Proportional to 120.45, 180.41 and 104.43

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Solution

The fourth proportional to 120.45, 180.41 and 104.43 is: 156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.45 : 180.41 = 104.43 : x
  2. Step 2: Convert to fraction form
    120.45/180.41 = 104.43/x
  3. Step 3: Cross multiply
    120.45x = 180.41 × 104.43
  4. Step 4: Simplify right side
    120.45x = 18,840.22
  5. Step 5: Solve for x
    x = 18,840.22/120.45
  6. Step 6: Final answer
    x = 156.42

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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.