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Finding the Fourth Proportional to 443.84, 613.64 and 333.88

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Solution

The fourth proportional to 443.84, 613.64 and 333.88 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.84 : 613.64 = 333.88 : x
  2. Step 2: Convert to fraction form
    443.84/613.64 = 333.88/x
  3. Step 3: Cross multiply
    443.84x = 613.64 × 333.88
  4. Step 4: Simplify right side
    443.84x = 204,882.12
  5. Step 5: Solve for x
    x = 204,882.12/443.84
  6. Step 6: Final answer
    x = 461.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.