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Finding the Fourth Proportional to 209.20, 315.67 and 201.16

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Solution

The fourth proportional to 209.20, 315.67 and 201.16 is: 303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.20 : 315.67 = 201.16 : x
  2. Step 2: Convert to fraction form
    209.20/315.67 = 201.16/x
  3. Step 3: Cross multiply
    209.20x = 315.67 × 201.16
  4. Step 4: Simplify right side
    209.20x = 63,500.18
  5. Step 5: Solve for x
    x = 63,500.18/209.20
  6. Step 6: Final answer
    x = 303.54

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Why These Related Problems?

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