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Finding the Fourth Proportional to 444.43, 666.79 and 197.60

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Solution

The fourth proportional to 444.43, 666.79 and 197.60 is: 296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.43 : 666.79 = 197.60 : x
  2. Step 2: Convert to fraction form
    444.43/666.79 = 197.60/x
  3. Step 3: Cross multiply
    444.43x = 666.79 × 197.60
  4. Step 4: Simplify right side
    444.43x = 131,755.54
  5. Step 5: Solve for x
    x = 131,755.54/444.43
  6. Step 6: Final answer
    x = 296.46

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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.