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Finding the Fourth Proportional to 199.84, 298.20 and 179.41

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Solution

The fourth proportional to 199.84, 298.20 and 179.41 is: 267.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.84 : 298.20 = 179.41 : x
  2. Step 2: Convert to fraction form
    199.84/298.20 = 179.41/x
  3. Step 3: Cross multiply
    199.84x = 298.20 × 179.41
  4. Step 4: Simplify right side
    199.84x = 53,500.06
  5. Step 5: Solve for x
    x = 53,500.06/199.84
  6. Step 6: Final answer
    x = 267.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.