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Finding the Fourth Proportional to 209.59, 286.74 and 208.68

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Solution

The fourth proportional to 209.59, 286.74 and 208.68 is: 285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.59 : 286.74 = 208.68 : x
  2. Step 2: Convert to fraction form
    209.59/286.74 = 208.68/x
  3. Step 3: Cross multiply
    209.59x = 286.74 × 208.68
  4. Step 4: Simplify right side
    209.59x = 59,835.83
  5. Step 5: Solve for x
    x = 59,835.83/209.59
  6. Step 6: Final answer
    x = 285.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.