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Finding the Fourth Proportional to 443.84, 668.42 and 336.38

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Solution

The fourth proportional to 443.84, 668.42 and 336.38 is: 506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.84 : 668.42 = 336.38 : x
  2. Step 2: Convert to fraction form
    443.84/668.42 = 336.38/x
  3. Step 3: Cross multiply
    443.84x = 668.42 × 336.38
  4. Step 4: Simplify right side
    443.84x = 224,843.12
  5. Step 5: Solve for x
    x = 224,843.12/443.84
  6. Step 6: Final answer
    x = 506.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.