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Finding the Fourth Proportional to 161.41, 220.78 and 158.89

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Solution

The fourth proportional to 161.41, 220.78 and 158.89 is: 217.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.41 : 220.78 = 158.89 : x
  2. Step 2: Convert to fraction form
    161.41/220.78 = 158.89/x
  3. Step 3: Cross multiply
    161.41x = 220.78 × 158.89
  4. Step 4: Simplify right side
    161.41x = 35,078.94
  5. Step 5: Solve for x
    x = 35,078.94/161.41
  6. Step 6: Final answer
    x = 217.33

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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.