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Finding the Fourth Proportional to 408.22, 610.94 and 339.86

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Solution

The fourth proportional to 408.22, 610.94 and 339.86 is: 508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.22 : 610.94 = 339.86 : x
  2. Step 2: Convert to fraction form
    408.22/610.94 = 339.86/x
  3. Step 3: Cross multiply
    408.22x = 610.94 × 339.86
  4. Step 4: Simplify right side
    408.22x = 207,636.45
  5. Step 5: Solve for x
    x = 207,636.45/408.22
  6. Step 6: Final answer
    x = 508.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.