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Finding the Fourth Proportional to 197.90, 298.14 and 180.99

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Solution

The fourth proportional to 197.90, 298.14 and 180.99 is: 272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.90 : 298.14 = 180.99 : x
  2. Step 2: Convert to fraction form
    197.90/298.14 = 180.99/x
  3. Step 3: Cross multiply
    197.90x = 298.14 × 180.99
  4. Step 4: Simplify right side
    197.90x = 53,960.70
  5. Step 5: Solve for x
    x = 53,960.70/197.90
  6. Step 6: Final answer
    x = 272.66

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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.