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Finding the Fourth Proportional to 441.38, 661.82 and 197.70

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Solution

The fourth proportional to 441.38, 661.82 and 197.70 is: 296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 661.82 = 197.70 : x
  2. Step 2: Convert to fraction form
    441.38/661.82 = 197.70/x
  3. Step 3: Cross multiply
    441.38x = 661.82 × 197.70
  4. Step 4: Simplify right side
    441.38x = 130,841.81
  5. Step 5: Solve for x
    x = 130,841.81/441.38
  6. Step 6: Final answer
    x = 296.44

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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.