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Finding the Fourth Proportional to 441.38, 661.62 and 197.84

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Solution

The fourth proportional to 441.38, 661.62 and 197.84 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 661.62 = 197.84 : x
  2. Step 2: Convert to fraction form
    441.38/661.62 = 197.84/x
  3. Step 3: Cross multiply
    441.38x = 661.62 × 197.84
  4. Step 4: Simplify right side
    441.38x = 130,894.90
  5. Step 5: Solve for x
    x = 130,894.90/441.38
  6. Step 6: Final answer
    x = 296.56

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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.