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Finding the Fourth Proportional to 197.90, 272.40 and 166.46

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Solution

The fourth proportional to 197.90, 272.40 and 166.46 is: 229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 272.40 = 166.46 : x
  2. Step 2: Convert to fraction form
    197.90/272.40 = 166.46/x
  3. Step 3: Cross multiply
    197.90x = 272.40 × 166.46
  4. Step 4: Simplify right side
    197.90x = 45,343.70
  5. Step 5: Solve for x
    x = 45,343.70/197.90
  6. Step 6: Final answer
    x = 229.12

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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.