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Finding the Fourth Proportional to 120.95, 167.00 and 91.79

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Solution

The fourth proportional to 120.95, 167.00 and 91.79 is: 126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.95 : 167.00 = 91.79 : x
  2. Step 2: Convert to fraction form
    120.95/167.00 = 91.79/x
  3. Step 3: Cross multiply
    120.95x = 167.00 × 91.79
  4. Step 4: Simplify right side
    120.95x = 15,327.64
  5. Step 5: Solve for x
    x = 15,327.64/120.95
  6. Step 6: Final answer
    x = 126.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.