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Finding the Fourth Proportional to 171.92, 236.85 and 142.22

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Solution

The fourth proportional to 171.92, 236.85 and 142.22 is: 195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.92 : 236.85 = 142.22 : x
  2. Step 2: Convert to fraction form
    171.92/236.85 = 142.22/x
  3. Step 3: Cross multiply
    171.92x = 236.85 × 142.22
  4. Step 4: Simplify right side
    171.92x = 33,684.81
  5. Step 5: Solve for x
    x = 33,684.81/171.92
  6. Step 6: Final answer
    x = 195.93

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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.