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Finding the Fourth Proportional to 120.37, 179.75 and 104.83

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Solution

The fourth proportional to 120.37, 179.75 and 104.83 is: 156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 179.75 = 104.83 : x
  2. Step 2: Convert to fraction form
    120.37/179.75 = 104.83/x
  3. Step 3: Cross multiply
    120.37x = 179.75 × 104.83
  4. Step 4: Simplify right side
    120.37x = 18,843.01
  5. Step 5: Solve for x
    x = 18,843.01/120.37
  6. Step 6: Final answer
    x = 156.54

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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.