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Finding the Fourth Proportional to 120.58, 167.56 and 119.33

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Solution

The fourth proportional to 120.58, 167.56 and 119.33 is: 165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.58 : 167.56 = 119.33 : x
  2. Step 2: Convert to fraction form
    120.58/167.56 = 119.33/x
  3. Step 3: Cross multiply
    120.58x = 167.56 × 119.33
  4. Step 4: Simplify right side
    120.58x = 19,993.92
  5. Step 5: Solve for x
    x = 19,993.92/120.58
  6. Step 6: Final answer
    x = 165.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.