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Finding the Fourth Proportional to 441.45, 662.12 and 197.84

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Solution

The fourth proportional to 441.45, 662.12 and 197.84 is: 296.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.45 : 662.12 = 197.84 : x
  2. Step 2: Convert to fraction form
    441.45/662.12 = 197.84/x
  3. Step 3: Cross multiply
    441.45x = 662.12 × 197.84
  4. Step 4: Simplify right side
    441.45x = 130,996.34
  5. Step 5: Solve for x
    x = 130,996.34/441.45
  6. Step 6: Final answer
    x = 296.74

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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.