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Finding the Fourth Proportional to 441.72, 661.34 and 224.84

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Solution

The fourth proportional to 441.72, 661.34 and 224.84 is: 336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.72 : 661.34 = 224.84 : x
  2. Step 2: Convert to fraction form
    441.72/661.34 = 224.84/x
  3. Step 3: Cross multiply
    441.72x = 661.34 × 224.84
  4. Step 4: Simplify right side
    441.72x = 148,691.25
  5. Step 5: Solve for x
    x = 148,691.25/441.72
  6. Step 6: Final answer
    x = 336.62

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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.