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Finding the Fourth Proportional to 441.20, 608.87 and 266.44

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Solution

The fourth proportional to 441.20, 608.87 and 266.44 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.20 : 608.87 = 266.44 : x
  2. Step 2: Convert to fraction form
    441.20/608.87 = 266.44/x
  3. Step 3: Cross multiply
    441.20x = 608.87 × 266.44
  4. Step 4: Simplify right side
    441.20x = 162,224.47
  5. Step 5: Solve for x
    x = 162,224.47/441.20
  6. Step 6: Final answer
    x = 367.69

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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.