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Finding the Fourth Proportional to 120.36, 179.49 and 105.02

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Solution

The fourth proportional to 120.36, 179.49 and 105.02 is: 156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 179.49 = 105.02 : x
  2. Step 2: Convert to fraction form
    120.36/179.49 = 105.02/x
  3. Step 3: Cross multiply
    120.36x = 179.49 × 105.02
  4. Step 4: Simplify right side
    120.36x = 18,850.04
  5. Step 5: Solve for x
    x = 18,850.04/120.36
  6. Step 6: Final answer
    x = 156.61

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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.