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Finding the Fourth Proportional to 197.03, 271.65 and 160.11

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Solution

The fourth proportional to 197.03, 271.65 and 160.11 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.03 : 271.65 = 160.11 : x
  2. Step 2: Convert to fraction form
    197.03/271.65 = 160.11/x
  3. Step 3: Cross multiply
    197.03x = 271.65 × 160.11
  4. Step 4: Simplify right side
    197.03x = 43,494.48
  5. Step 5: Solve for x
    x = 43,494.48/197.03
  6. Step 6: Final answer
    x = 220.75

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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.