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Finding the Fourth Proportional to 444.40, 666.78 and 200.76

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Solution

The fourth proportional to 444.40, 666.78 and 200.76 is: 301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 666.78 = 200.76 : x
  2. Step 2: Convert to fraction form
    444.40/666.78 = 200.76/x
  3. Step 3: Cross multiply
    444.40x = 666.78 × 200.76
  4. Step 4: Simplify right side
    444.40x = 133,862.75
  5. Step 5: Solve for x
    x = 133,862.75/444.40
  6. Step 6: Final answer
    x = 301.22

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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.