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Finding the Fourth Proportional to 197.43, 272.21 and 160.49

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Solution

The fourth proportional to 197.43, 272.21 and 160.49 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.43 : 272.21 = 160.49 : x
  2. Step 2: Convert to fraction form
    197.43/272.21 = 160.49/x
  3. Step 3: Cross multiply
    197.43x = 272.21 × 160.49
  4. Step 4: Simplify right side
    197.43x = 43,684.82
  5. Step 5: Solve for x
    x = 43,684.82/197.43
  6. Step 6: Final answer
    x = 221.27

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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.