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Finding the Fourth Proportional to 408.43, 612.75 and 115.93

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Solution

The fourth proportional to 408.43, 612.75 and 115.93 is: 173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.43 : 612.75 = 115.93 : x
  2. Step 2: Convert to fraction form
    408.43/612.75 = 115.93/x
  3. Step 3: Cross multiply
    408.43x = 612.75 × 115.93
  4. Step 4: Simplify right side
    408.43x = 71,037.64
  5. Step 5: Solve for x
    x = 71,037.64/408.43
  6. Step 6: Final answer
    x = 173.93

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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.