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Finding the Fourth Proportional to 209.92, 316.36 and 201.64

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Solution

The fourth proportional to 209.92, 316.36 and 201.64 is: 303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.92 : 316.36 = 201.64 : x
  2. Step 2: Convert to fraction form
    209.92/316.36 = 201.64/x
  3. Step 3: Cross multiply
    209.92x = 316.36 × 201.64
  4. Step 4: Simplify right side
    209.92x = 63,790.83
  5. Step 5: Solve for x
    x = 63,790.83/209.92
  6. Step 6: Final answer
    x = 303.88

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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.