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Finding the Fourth Proportional to 443.31, 665.15 and 200.03

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Solution

The fourth proportional to 443.31, 665.15 and 200.03 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.31 : 665.15 = 200.03 : x
  2. Step 2: Convert to fraction form
    443.31/665.15 = 200.03/x
  3. Step 3: Cross multiply
    443.31x = 665.15 × 200.03
  4. Step 4: Simplify right side
    443.31x = 133,045.63
  5. Step 5: Solve for x
    x = 133,045.63/443.31
  6. Step 6: Final answer
    x = 300.12

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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.