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Finding the Fourth Proportional to 120.09, 179.33 and 112.35

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Solution

The fourth proportional to 120.09, 179.33 and 112.35 is: 167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 179.33 = 112.35 : x
  2. Step 2: Convert to fraction form
    120.09/179.33 = 112.35/x
  3. Step 3: Cross multiply
    120.09x = 179.33 × 112.35
  4. Step 4: Simplify right side
    120.09x = 20,147.84
  5. Step 5: Solve for x
    x = 20,147.84/120.09
  6. Step 6: Final answer
    x = 167.77

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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.