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Finding the Fourth Proportional to 209.56, 315.79 and 199.60

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Solution

The fourth proportional to 209.56, 315.79 and 199.60 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 315.79 = 199.60 : x
  2. Step 2: Convert to fraction form
    209.56/315.79 = 199.60/x
  3. Step 3: Cross multiply
    209.56x = 315.79 × 199.60
  4. Step 4: Simplify right side
    209.56x = 63,031.68
  5. Step 5: Solve for x
    x = 63,031.68/209.56
  6. Step 6: Final answer
    x = 300.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.