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Finding the Fourth Proportional to 199.12, 298.14 and 102.73

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Solution

The fourth proportional to 199.12, 298.14 and 102.73 is: 153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.12 : 298.14 = 102.73 : x
  2. Step 2: Convert to fraction form
    199.12/298.14 = 102.73/x
  3. Step 3: Cross multiply
    199.12x = 298.14 × 102.73
  4. Step 4: Simplify right side
    199.12x = 30,627.41
  5. Step 5: Solve for x
    x = 30,627.41/199.12
  6. Step 6: Final answer
    x = 153.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.