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Finding the Fourth Proportional to 449.52, 619.23 and 324.81

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Solution

The fourth proportional to 449.52, 619.23 and 324.81 is: 447.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.52 : 619.23 = 324.81 : x
  2. Step 2: Convert to fraction form
    449.52/619.23 = 324.81/x
  3. Step 3: Cross multiply
    449.52x = 619.23 × 324.81
  4. Step 4: Simplify right side
    449.52x = 201,132.10
  5. Step 5: Solve for x
    x = 201,132.10/449.52
  6. Step 6: Final answer
    x = 447.44

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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.