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Finding the Fourth Proportional to 408.25, 612.52 and 262.07

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Solution

The fourth proportional to 408.25, 612.52 and 262.07 is: 393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.25 : 612.52 = 262.07 : x
  2. Step 2: Convert to fraction form
    408.25/612.52 = 262.07/x
  3. Step 3: Cross multiply
    408.25x = 612.52 × 262.07
  4. Step 4: Simplify right side
    408.25x = 160,523.12
  5. Step 5: Solve for x
    x = 160,523.12/408.25
  6. Step 6: Final answer
    x = 393.20

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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.