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Finding the Fourth Proportional to 443.24, 663.92 and 335.68

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Solution

The fourth proportional to 443.24, 663.92 and 335.68 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 663.92 = 335.68 : x
  2. Step 2: Convert to fraction form
    443.24/663.92 = 335.68/x
  3. Step 3: Cross multiply
    443.24x = 663.92 × 335.68
  4. Step 4: Simplify right side
    443.24x = 222,864.67
  5. Step 5: Solve for x
    x = 222,864.67/443.24
  6. Step 6: Final answer
    x = 502.81

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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.