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Finding the Fourth Proportional to 331.83, 459.78 and 324.27

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Solution

The fourth proportional to 331.83, 459.78 and 324.27 is: 449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.83 : 459.78 = 324.27 : x
  2. Step 2: Convert to fraction form
    331.83/459.78 = 324.27/x
  3. Step 3: Cross multiply
    331.83x = 459.78 × 324.27
  4. Step 4: Simplify right side
    331.83x = 149,091.64
  5. Step 5: Solve for x
    x = 149,091.64/331.83
  6. Step 6: Final answer
    x = 449.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.