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Finding the Fourth Proportional to 121.22, 166.50 and 118.91

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Solution

The fourth proportional to 121.22, 166.50 and 118.91 is: 163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.22 : 166.50 = 118.91 : x
  2. Step 2: Convert to fraction form
    121.22/166.50 = 118.91/x
  3. Step 3: Cross multiply
    121.22x = 166.50 × 118.91
  4. Step 4: Simplify right side
    121.22x = 19,798.52
  5. Step 5: Solve for x
    x = 19,798.52/121.22
  6. Step 6: Final answer
    x = 163.33

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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.