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Finding the Fourth Proportional to 441.69, 609.61 and 255.17

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Solution

The fourth proportional to 441.69, 609.61 and 255.17 is: 352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.69 : 609.61 = 255.17 : x
  2. Step 2: Convert to fraction form
    441.69/609.61 = 255.17/x
  3. Step 3: Cross multiply
    441.69x = 609.61 × 255.17
  4. Step 4: Simplify right side
    441.69x = 155,553.20
  5. Step 5: Solve for x
    x = 155,553.20/441.69
  6. Step 6: Final answer
    x = 352.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.