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Finding the Fourth Proportional to 197.62, 271.85 and 160.70

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Solution

The fourth proportional to 197.62, 271.85 and 160.70 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.62 : 271.85 = 160.70 : x
  2. Step 2: Convert to fraction form
    197.62/271.85 = 160.70/x
  3. Step 3: Cross multiply
    197.62x = 271.85 × 160.70
  4. Step 4: Simplify right side
    197.62x = 43,684.13
  5. Step 5: Solve for x
    x = 43,684.13/197.62
  6. Step 6: Final answer
    x = 221.05

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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.