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Finding the Fourth Proportional to 120.35, 179.65 and 111.91

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Solution

The fourth proportional to 120.35, 179.65 and 111.91 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 179.65 = 111.91 : x
  2. Step 2: Convert to fraction form
    120.35/179.65 = 111.91/x
  3. Step 3: Cross multiply
    120.35x = 179.65 × 111.91
  4. Step 4: Simplify right side
    120.35x = 20,104.63
  5. Step 5: Solve for x
    x = 20,104.63/120.35
  6. Step 6: Final answer
    x = 167.05

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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.