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Finding the Fourth Proportional to 440.59, 660.43 and 197.05

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Solution

The fourth proportional to 440.59, 660.43 and 197.05 is: 295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.59 : 660.43 = 197.05 : x
  2. Step 2: Convert to fraction form
    440.59/660.43 = 197.05/x
  3. Step 3: Cross multiply
    440.59x = 660.43 × 197.05
  4. Step 4: Simplify right side
    440.59x = 130,137.73
  5. Step 5: Solve for x
    x = 130,137.73/440.59
  6. Step 6: Final answer
    x = 295.37

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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.