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Finding the Fourth Proportional to 120.32, 167.16 and 119.19

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Solution

The fourth proportional to 120.32, 167.16 and 119.19 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.32 : 167.16 = 119.19 : x
  2. Step 2: Convert to fraction form
    120.32/167.16 = 119.19/x
  3. Step 3: Cross multiply
    120.32x = 167.16 × 119.19
  4. Step 4: Simplify right side
    120.32x = 19,923.87
  5. Step 5: Solve for x
    x = 19,923.87/120.32
  6. Step 6: Final answer
    x = 165.59

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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.