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Finding the Fourth Proportional to 122.02, 167.45 and 118.96

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Solution

The fourth proportional to 122.02, 167.45 and 118.96 is: 163.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.02 : 167.45 = 118.96 : x
  2. Step 2: Convert to fraction form
    122.02/167.45 = 118.96/x
  3. Step 3: Cross multiply
    122.02x = 167.45 × 118.96
  4. Step 4: Simplify right side
    122.02x = 19,919.85
  5. Step 5: Solve for x
    x = 19,919.85/122.02
  6. Step 6: Final answer
    x = 163.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.