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Finding the Fourth Proportional to 120.74, 167.74 and 119.30

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Solution

The fourth proportional to 120.74, 167.74 and 119.30 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.74 : 167.74 = 119.30 : x
  2. Step 2: Convert to fraction form
    120.74/167.74 = 119.30/x
  3. Step 3: Cross multiply
    120.74x = 167.74 × 119.30
  4. Step 4: Simplify right side
    120.74x = 20,009.95
  5. Step 5: Solve for x
    x = 20,009.95/120.74
  6. Step 6: Final answer
    x = 165.73

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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.