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Finding the Fourth Proportional to 120.86, 167.47 and 118.27

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Solution

The fourth proportional to 120.86, 167.47 and 118.27 is: 163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.86 : 167.47 = 118.27 : x
  2. Step 2: Convert to fraction form
    120.86/167.47 = 118.27/x
  3. Step 3: Cross multiply
    120.86x = 167.47 × 118.27
  4. Step 4: Simplify right side
    120.86x = 19,805.96
  5. Step 5: Solve for x
    x = 19,805.96/120.86
  6. Step 6: Final answer
    x = 163.87

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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.