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Finding the Fourth Proportional to 213.44, 294.20 and 161.60

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Solution

The fourth proportional to 213.44, 294.20 and 161.60 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 294.20 = 161.60 : x
  2. Step 2: Convert to fraction form
    213.44/294.20 = 161.60/x
  3. Step 3: Cross multiply
    213.44x = 294.20 × 161.60
  4. Step 4: Simplify right side
    213.44x = 47,542.72
  5. Step 5: Solve for x
    x = 47,542.72/213.44
  6. Step 6: Final answer
    x = 222.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.