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Finding the Fourth Proportional to 161.37, 221.81 and 142.86

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Solution

The fourth proportional to 161.37, 221.81 and 142.86 is: 196.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.37 : 221.81 = 142.86 : x
  2. Step 2: Convert to fraction form
    161.37/221.81 = 142.86/x
  3. Step 3: Cross multiply
    161.37x = 221.81 × 142.86
  4. Step 4: Simplify right side
    161.37x = 31,687.06
  5. Step 5: Solve for x
    x = 31,687.06/161.37
  6. Step 6: Final answer
    x = 196.36

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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.