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Finding the Fourth Proportional to 408.29, 612.32 and 115.77

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Solution

The fourth proportional to 408.29, 612.32 and 115.77 is: 173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.29 : 612.32 = 115.77 : x
  2. Step 2: Convert to fraction form
    408.29/612.32 = 115.77/x
  3. Step 3: Cross multiply
    408.29x = 612.32 × 115.77
  4. Step 4: Simplify right side
    408.29x = 70,888.29
  5. Step 5: Solve for x
    x = 70,888.29/408.29
  6. Step 6: Final answer
    x = 173.62

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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.