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Finding the Fourth Proportional to 408.32, 611.96 and 262.02

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Solution

The fourth proportional to 408.32, 611.96 and 262.02 is: 392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 611.96 = 262.02 : x
  2. Step 2: Convert to fraction form
    408.32/611.96 = 262.02/x
  3. Step 3: Cross multiply
    408.32x = 611.96 × 262.02
  4. Step 4: Simplify right side
    408.32x = 160,343.30
  5. Step 5: Solve for x
    x = 160,343.30/408.32
  6. Step 6: Final answer
    x = 392.69

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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.