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Finding the Fourth Proportional to 408.91, 610.76 and 350.86

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Solution

The fourth proportional to 408.91, 610.76 and 350.86 is: 524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.91 : 610.76 = 350.86 : x
  2. Step 2: Convert to fraction form
    408.91/610.76 = 350.86/x
  3. Step 3: Cross multiply
    408.91x = 610.76 × 350.86
  4. Step 4: Simplify right side
    408.91x = 214,291.25
  5. Step 5: Solve for x
    x = 214,291.25/408.91
  6. Step 6: Final answer
    x = 524.05

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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.