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Finding the Fourth Proportional to 197.97, 298.03 and 178.13

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Solution

The fourth proportional to 197.97, 298.03 and 178.13 is: 268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.97 : 298.03 = 178.13 : x
  2. Step 2: Convert to fraction form
    197.97/298.03 = 178.13/x
  3. Step 3: Cross multiply
    197.97x = 298.03 × 178.13
  4. Step 4: Simplify right side
    197.97x = 53,085.70
  5. Step 5: Solve for x
    x = 53,085.70/197.97
  6. Step 6: Final answer
    x = 268.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.