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Finding the Fourth Proportional to 199.69, 298.13 and 170.81

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Solution

The fourth proportional to 199.69, 298.13 and 170.81 is: 255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.69 : 298.13 = 170.81 : x
  2. Step 2: Convert to fraction form
    199.69/298.13 = 170.81/x
  3. Step 3: Cross multiply
    199.69x = 298.13 × 170.81
  4. Step 4: Simplify right side
    199.69x = 50,923.48
  5. Step 5: Solve for x
    x = 50,923.48/199.69
  6. Step 6: Final answer
    x = 255.02

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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.