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Finding the Fourth Proportional to 161.75, 221.89 and 155.82

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Solution

The fourth proportional to 161.75, 221.89 and 155.82 is: 213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.75 : 221.89 = 155.82 : x
  2. Step 2: Convert to fraction form
    161.75/221.89 = 155.82/x
  3. Step 3: Cross multiply
    161.75x = 221.89 × 155.82
  4. Step 4: Simplify right side
    161.75x = 34,575.63
  5. Step 5: Solve for x
    x = 34,575.63/161.75
  6. Step 6: Final answer
    x = 213.76

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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.