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Finding the Fourth Proportional to 255.62, 353.09 and 206.69

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Solution

The fourth proportional to 255.62, 353.09 and 206.69 is: 285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.62 : 353.09 = 206.69 : x
  2. Step 2: Convert to fraction form
    255.62/353.09 = 206.69/x
  3. Step 3: Cross multiply
    255.62x = 353.09 × 206.69
  4. Step 4: Simplify right side
    255.62x = 72,978.92
  5. Step 5: Solve for x
    x = 72,978.92/255.62
  6. Step 6: Final answer
    x = 285.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.