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Finding the Fourth Proportional to 408.15, 611.17 and 374.32

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Solution

The fourth proportional to 408.15, 611.17 and 374.32 is: 560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.15 : 611.17 = 374.32 : x
  2. Step 2: Convert to fraction form
    408.15/611.17 = 374.32/x
  3. Step 3: Cross multiply
    408.15x = 611.17 × 374.32
  4. Step 4: Simplify right side
    408.15x = 228,773.15
  5. Step 5: Solve for x
    x = 228,773.15/408.15
  6. Step 6: Final answer
    x = 560.51

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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.