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Finding the Fourth Proportional to 161.96, 221.90 and 159.94

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Solution

The fourth proportional to 161.96, 221.90 and 159.94 is: 219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 221.90 = 159.94 : x
  2. Step 2: Convert to fraction form
    161.96/221.90 = 159.94/x
  3. Step 3: Cross multiply
    161.96x = 221.90 × 159.94
  4. Step 4: Simplify right side
    161.96x = 35,489.58
  5. Step 5: Solve for x
    x = 35,489.58/161.96
  6. Step 6: Final answer
    x = 219.13

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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.