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Finding the Fourth Proportional to 161.88, 220.41 and 161.37

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Solution

The fourth proportional to 161.88, 220.41 and 161.37 is: 219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.88 : 220.41 = 161.37 : x
  2. Step 2: Convert to fraction form
    161.88/220.41 = 161.37/x
  3. Step 3: Cross multiply
    161.88x = 220.41 × 161.37
  4. Step 4: Simplify right side
    161.88x = 35,566.13
  5. Step 5: Solve for x
    x = 35,566.13/161.88
  6. Step 6: Final answer
    x = 219.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.