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Finding the Fourth Proportional to 353.50, 487.78 and 196.09

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Solution

The fourth proportional to 353.50, 487.78 and 196.09 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.50 : 487.78 = 196.09 : x
  2. Step 2: Convert to fraction form
    353.50/487.78 = 196.09/x
  3. Step 3: Cross multiply
    353.50x = 487.78 × 196.09
  4. Step 4: Simplify right side
    353.50x = 95,647.80
  5. Step 5: Solve for x
    x = 95,647.80/353.50
  6. Step 6: Final answer
    x = 270.58

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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.