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Finding the Fourth Proportional to 255.38, 350.89 and 208.62

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Solution

The fourth proportional to 255.38, 350.89 and 208.62 is: 286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.38 : 350.89 = 208.62 : x
  2. Step 2: Convert to fraction form
    255.38/350.89 = 208.62/x
  3. Step 3: Cross multiply
    255.38x = 350.89 × 208.62
  4. Step 4: Simplify right side
    255.38x = 73,202.15
  5. Step 5: Solve for x
    x = 73,202.15/255.38
  6. Step 6: Final answer
    x = 286.65

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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.