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Finding the Fourth Proportional to 162.26, 222.42 and 161.54

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Solution

The fourth proportional to 162.26, 222.42 and 161.54 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.26 : 222.42 = 161.54 : x
  2. Step 2: Convert to fraction form
    162.26/222.42 = 161.54/x
  3. Step 3: Cross multiply
    162.26x = 222.42 × 161.54
  4. Step 4: Simplify right side
    162.26x = 35,929.73
  5. Step 5: Solve for x
    x = 35,929.73/162.26
  6. Step 6: Final answer
    x = 221.43

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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.