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Finding the Fourth Proportional to 120.33, 178.11 and 120.06

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Solution

The fourth proportional to 120.33, 178.11 and 120.06 is: 177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.33 : 178.11 = 120.06 : x
  2. Step 2: Convert to fraction form
    120.33/178.11 = 120.06/x
  3. Step 3: Cross multiply
    120.33x = 178.11 × 120.06
  4. Step 4: Simplify right side
    120.33x = 21,383.89
  5. Step 5: Solve for x
    x = 21,383.89/120.33
  6. Step 6: Final answer
    x = 177.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.