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Finding the Fourth Proportional to 161.18, 221.73 and 142.41

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Solution

The fourth proportional to 161.18, 221.73 and 142.41 is: 195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.18 : 221.73 = 142.41 : x
  2. Step 2: Convert to fraction form
    161.18/221.73 = 142.41/x
  3. Step 3: Cross multiply
    161.18x = 221.73 × 142.41
  4. Step 4: Simplify right side
    161.18x = 31,576.57
  5. Step 5: Solve for x
    x = 31,576.57/161.18
  6. Step 6: Final answer
    x = 195.91

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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.