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Finding the Fourth Proportional to 199.75, 298.07 and 181.57

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Solution

The fourth proportional to 199.75, 298.07 and 181.57 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.75 : 298.07 = 181.57 : x
  2. Step 2: Convert to fraction form
    199.75/298.07 = 181.57/x
  3. Step 3: Cross multiply
    199.75x = 298.07 × 181.57
  4. Step 4: Simplify right side
    199.75x = 54,120.57
  5. Step 5: Solve for x
    x = 54,120.57/199.75
  6. Step 6: Final answer
    x = 270.94

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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.