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Finding the Fourth Proportional to 408.26, 610.47 and 276.10

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Solution

The fourth proportional to 408.26, 610.47 and 276.10 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.26 : 610.47 = 276.10 : x
  2. Step 2: Convert to fraction form
    408.26/610.47 = 276.10/x
  3. Step 3: Cross multiply
    408.26x = 610.47 × 276.10
  4. Step 4: Simplify right side
    408.26x = 168,550.77
  5. Step 5: Solve for x
    x = 168,550.77/408.26
  6. Step 6: Final answer
    x = 412.85

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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.