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Finding the Fourth Proportional to 197.49, 271.67 and 160.57

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Solution

The fourth proportional to 197.49, 271.67 and 160.57 is: 220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.49 : 271.67 = 160.57 : x
  2. Step 2: Convert to fraction form
    197.49/271.67 = 160.57/x
  3. Step 3: Cross multiply
    197.49x = 271.67 × 160.57
  4. Step 4: Simplify right side
    197.49x = 43,622.45
  5. Step 5: Solve for x
    x = 43,622.45/197.49
  6. Step 6: Final answer
    x = 220.88

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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.