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Finding the Fourth Proportional to 408.27, 609.80 and 353.60

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Solution

The fourth proportional to 408.27, 609.80 and 353.60 is: 528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.27 : 609.80 = 353.60 : x
  2. Step 2: Convert to fraction form
    408.27/609.80 = 353.60/x
  3. Step 3: Cross multiply
    408.27x = 609.80 × 353.60
  4. Step 4: Simplify right side
    408.27x = 215,620.46
  5. Step 5: Solve for x
    x = 215,620.46/408.27
  6. Step 6: Final answer
    x = 528.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.