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Finding the Fourth Proportional to 444.09, 666.04 and 200.69

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Solution

The fourth proportional to 444.09, 666.04 and 200.69 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.09 : 666.04 = 200.69 : x
  2. Step 2: Convert to fraction form
    444.09/666.04 = 200.69/x
  3. Step 3: Cross multiply
    444.09x = 666.04 × 200.69
  4. Step 4: Simplify right side
    444.09x = 133,667.57
  5. Step 5: Solve for x
    x = 133,667.57/444.09
  6. Step 6: Final answer
    x = 300.99

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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.