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Finding the Fourth Proportional to 161.20, 221.06 and 159.85

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Solution

The fourth proportional to 161.20, 221.06 and 159.85 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 221.06 = 159.85 : x
  2. Step 2: Convert to fraction form
    161.20/221.06 = 159.85/x
  3. Step 3: Cross multiply
    161.20x = 221.06 × 159.85
  4. Step 4: Simplify right side
    161.20x = 35,336.44
  5. Step 5: Solve for x
    x = 35,336.44/161.20
  6. Step 6: Final answer
    x = 219.21

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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.