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Finding the Fourth Proportional to 196.64, 270.94 and 161.55

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Solution

The fourth proportional to 196.64, 270.94 and 161.55 is: 222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 270.94 = 161.55 : x
  2. Step 2: Convert to fraction form
    196.64/270.94 = 161.55/x
  3. Step 3: Cross multiply
    196.64x = 270.94 × 161.55
  4. Step 4: Simplify right side
    196.64x = 43,768.19
  5. Step 5: Solve for x
    x = 43,768.19/196.64
  6. Step 6: Final answer
    x = 222.59

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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.