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Finding the Fourth Proportional to 408.72, 609.76 and 350.26

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Solution

The fourth proportional to 408.72, 609.76 and 350.26 is: 522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.72 : 609.76 = 350.26 : x
  2. Step 2: Convert to fraction form
    408.72/609.76 = 350.26/x
  3. Step 3: Cross multiply
    408.72x = 609.76 × 350.26
  4. Step 4: Simplify right side
    408.72x = 213,574.54
  5. Step 5: Solve for x
    x = 213,574.54/408.72
  6. Step 6: Final answer
    x = 522.54

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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.