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Finding the Fourth Proportional to 199.34, 298.97 and 167.18

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Solution

The fourth proportional to 199.34, 298.97 and 167.18 is: 250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.34 : 298.97 = 167.18 : x
  2. Step 2: Convert to fraction form
    199.34/298.97 = 167.18/x
  3. Step 3: Cross multiply
    199.34x = 298.97 × 167.18
  4. Step 4: Simplify right side
    199.34x = 49,981.80
  5. Step 5: Solve for x
    x = 49,981.80/199.34
  6. Step 6: Final answer
    x = 250.74

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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.