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Finding the Fourth Proportional to 663.91, 996.03 and 231.07

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Solution

The fourth proportional to 663.91, 996.03 and 231.07 is: 346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.91 : 996.03 = 231.07 : x
  2. Step 2: Convert to fraction form
    663.91/996.03 = 231.07/x
  3. Step 3: Cross multiply
    663.91x = 996.03 × 231.07
  4. Step 4: Simplify right side
    663.91x = 230,152.65
  5. Step 5: Solve for x
    x = 230,152.65/663.91
  6. Step 6: Final answer
    x = 346.66

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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.