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Finding the Fourth Proportional to 448.26, 619.44 and 324.30

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Solution

The fourth proportional to 448.26, 619.44 and 324.30 is: 448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.26 : 619.44 = 324.30 : x
  2. Step 2: Convert to fraction form
    448.26/619.44 = 324.30/x
  3. Step 3: Cross multiply
    448.26x = 619.44 × 324.30
  4. Step 4: Simplify right side
    448.26x = 200,884.39
  5. Step 5: Solve for x
    x = 200,884.39/448.26
  6. Step 6: Final answer
    x = 448.14

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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.