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Finding the Fourth Proportional to 441.78, 610.11 and 331.08

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Solution

The fourth proportional to 441.78, 610.11 and 331.08 is: 457.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.78 : 610.11 = 331.08 : x
  2. Step 2: Convert to fraction form
    441.78/610.11 = 331.08/x
  3. Step 3: Cross multiply
    441.78x = 610.11 × 331.08
  4. Step 4: Simplify right side
    441.78x = 201,995.22
  5. Step 5: Solve for x
    x = 201,995.22/441.78
  6. Step 6: Final answer
    x = 457.23

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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.