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Finding the Fourth Proportional to 441.20, 608.89 and 293.74

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Solution

The fourth proportional to 441.20, 608.89 and 293.74 is: 405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 608.89 = 293.74 : x
  2. Step 2: Convert to fraction form
    441.20/608.89 = 293.74/x
  3. Step 3: Cross multiply
    441.20x = 608.89 × 293.74
  4. Step 4: Simplify right side
    441.20x = 178,853.09
  5. Step 5: Solve for x
    x = 178,853.09/441.20
  6. Step 6: Final answer
    x = 405.38

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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.