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Finding the Fourth Proportional to 441.10, 661.77 and 197.68

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Solution

The fourth proportional to 441.10, 661.77 and 197.68 is: 296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.10 : 661.77 = 197.68 : x
  2. Step 2: Convert to fraction form
    441.10/661.77 = 197.68/x
  3. Step 3: Cross multiply
    441.10x = 661.77 × 197.68
  4. Step 4: Simplify right side
    441.10x = 130,818.69
  5. Step 5: Solve for x
    x = 130,818.69/441.10
  6. Step 6: Final answer
    x = 296.57

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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.