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Finding the Fourth Proportional to 171.22, 236.20 and 122.13

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Solution

The fourth proportional to 171.22, 236.20 and 122.13 is: 168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.22 : 236.20 = 122.13 : x
  2. Step 2: Convert to fraction form
    171.22/236.20 = 122.13/x
  3. Step 3: Cross multiply
    171.22x = 236.20 × 122.13
  4. Step 4: Simplify right side
    171.22x = 28,847.11
  5. Step 5: Solve for x
    x = 28,847.11/171.22
  6. Step 6: Final answer
    x = 168.48

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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.