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Finding the Fourth Proportional to 353.23, 487.49 and 205.85

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Solution

The fourth proportional to 353.23, 487.49 and 205.85 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.23 : 487.49 = 205.85 : x
  2. Step 2: Convert to fraction form
    353.23/487.49 = 205.85/x
  3. Step 3: Cross multiply
    353.23x = 487.49 × 205.85
  4. Step 4: Simplify right side
    353.23x = 100,350.01
  5. Step 5: Solve for x
    x = 100,350.01/353.23
  6. Step 6: Final answer
    x = 284.09

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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.