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Finding the Fourth Proportional to 408.32, 612.40 and 115.84

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Solution

The fourth proportional to 408.32, 612.40 and 115.84 is: 173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.32 : 612.40 = 115.84 : x
  2. Step 2: Convert to fraction form
    408.32/612.40 = 115.84/x
  3. Step 3: Cross multiply
    408.32x = 612.40 × 115.84
  4. Step 4: Simplify right side
    408.32x = 70,940.42
  5. Step 5: Solve for x
    x = 70,940.42/408.32
  6. Step 6: Final answer
    x = 173.74

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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.