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Finding the Fourth Proportional to 449.26, 618.65 and 324.70

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Solution

The fourth proportional to 449.26, 618.65 and 324.70 is: 447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.26 : 618.65 = 324.70 : x
  2. Step 2: Convert to fraction form
    449.26/618.65 = 324.70/x
  3. Step 3: Cross multiply
    449.26x = 618.65 × 324.70
  4. Step 4: Simplify right side
    449.26x = 200,875.66
  5. Step 5: Solve for x
    x = 200,875.66/449.26
  6. Step 6: Final answer
    x = 447.13

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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.