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Finding the Fourth Proportional to 664.29, 996.36 and 170.70

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Solution

The fourth proportional to 664.29, 996.36 and 170.70 is: 256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 996.36 = 170.70 : x
  2. Step 2: Convert to fraction form
    664.29/996.36 = 170.70/x
  3. Step 3: Cross multiply
    664.29x = 996.36 × 170.70
  4. Step 4: Simplify right side
    664.29x = 170,078.65
  5. Step 5: Solve for x
    x = 170,078.65/664.29
  6. Step 6: Final answer
    x = 256.03

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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.