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Finding the Fourth Proportional to 209.68, 291.67 and 205.72

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Solution

The fourth proportional to 209.68, 291.67 and 205.72 is: 286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 291.67 = 205.72 : x
  2. Step 2: Convert to fraction form
    209.68/291.67 = 205.72/x
  3. Step 3: Cross multiply
    209.68x = 291.67 × 205.72
  4. Step 4: Simplify right side
    209.68x = 60,002.35
  5. Step 5: Solve for x
    x = 60,002.35/209.68
  6. Step 6: Final answer
    x = 286.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.