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Finding the Fourth Proportional to 209.16, 315.19 and 204.84

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Solution

The fourth proportional to 209.16, 315.19 and 204.84 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.16 : 315.19 = 204.84 : x
  2. Step 2: Convert to fraction form
    209.16/315.19 = 204.84/x
  3. Step 3: Cross multiply
    209.16x = 315.19 × 204.84
  4. Step 4: Simplify right side
    209.16x = 64,563.52
  5. Step 5: Solve for x
    x = 64,563.52/209.16
  6. Step 6: Final answer
    x = 308.68

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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.