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Finding the Fourth Proportional to 665.10, 996.84 and 231.74

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Solution

The fourth proportional to 665.10, 996.84 and 231.74 is: 347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 996.84 = 231.74 : x
  2. Step 2: Convert to fraction form
    665.10/996.84 = 231.74/x
  3. Step 3: Cross multiply
    665.10x = 996.84 × 231.74
  4. Step 4: Simplify right side
    665.10x = 231,007.70
  5. Step 5: Solve for x
    x = 231,007.70/665.10
  6. Step 6: Final answer
    x = 347.33

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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.