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Finding the Fourth Proportional to 161.46, 221.21 and 159.44

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Solution

The fourth proportional to 161.46, 221.21 and 159.44 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 221.21 = 159.44 : x
  2. Step 2: Convert to fraction form
    161.46/221.21 = 159.44/x
  3. Step 3: Cross multiply
    161.46x = 221.21 × 159.44
  4. Step 4: Simplify right side
    161.46x = 35,269.31
  5. Step 5: Solve for x
    x = 35,269.31/161.46
  6. Step 6: Final answer
    x = 218.44

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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.