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Finding the Fourth Proportional to 120.33, 179.36 and 111.09

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Solution

The fourth proportional to 120.33, 179.36 and 111.09 is: 165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 179.36 = 111.09 : x
  2. Step 2: Convert to fraction form
    120.33/179.36 = 111.09/x
  3. Step 3: Cross multiply
    120.33x = 179.36 × 111.09
  4. Step 4: Simplify right side
    120.33x = 19,924.55
  5. Step 5: Solve for x
    x = 19,924.55/120.33
  6. Step 6: Final answer
    x = 165.58

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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.