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Finding the Fourth Proportional to 408.71, 610.47 and 351.10

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Solution

The fourth proportional to 408.71, 610.47 and 351.10 is: 524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.71 : 610.47 = 351.10 : x
  2. Step 2: Convert to fraction form
    408.71/610.47 = 351.10/x
  3. Step 3: Cross multiply
    408.71x = 610.47 × 351.10
  4. Step 4: Simplify right side
    408.71x = 214,336.78
  5. Step 5: Solve for x
    x = 214,336.78/408.71
  6. Step 6: Final answer
    x = 524.42

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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.