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Finding the Fourth Proportional to 408.32, 611.84 and 256

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Solution

The fourth proportional to 408.32, 611.84 and 256 is: 383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 611.84 = 256 : x
  2. Step 2: Convert to fraction form
    408.32/611.84 = 256/x
  3. Step 3: Cross multiply
    408.32x = 611.84 × 256
  4. Step 4: Simplify right side
    408.32x = 156,631.04
  5. Step 5: Solve for x
    x = 156,631.04/408.32
  6. Step 6: Final answer
    x = 383.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.