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Finding the Fourth Proportional to 120.23, 167.04 and 118.79

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Solution

The fourth proportional to 120.23, 167.04 and 118.79 is: 165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.23 : 167.04 = 118.79 : x
  2. Step 2: Convert to fraction form
    120.23/167.04 = 118.79/x
  3. Step 3: Cross multiply
    120.23x = 167.04 × 118.79
  4. Step 4: Simplify right side
    120.23x = 19,843.10
  5. Step 5: Solve for x
    x = 19,843.10/120.23
  6. Step 6: Final answer
    x = 165.04

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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.