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Finding the Fourth Proportional to 209.83, 315.25 and 206.41

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Solution

The fourth proportional to 209.83, 315.25 and 206.41 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 315.25 = 206.41 : x
  2. Step 2: Convert to fraction form
    209.83/315.25 = 206.41/x
  3. Step 3: Cross multiply
    209.83x = 315.25 × 206.41
  4. Step 4: Simplify right side
    209.83x = 65,070.75
  5. Step 5: Solve for x
    x = 65,070.75/209.83
  6. Step 6: Final answer
    x = 310.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.