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Finding the Fourth Proportional to 324.79, 448.08 and 200.41

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Solution

The fourth proportional to 324.79, 448.08 and 200.41 is: 276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.79 : 448.08 = 200.41 : x
  2. Step 2: Convert to fraction form
    324.79/448.08 = 200.41/x
  3. Step 3: Cross multiply
    324.79x = 448.08 × 200.41
  4. Step 4: Simplify right side
    324.79x = 89,799.71
  5. Step 5: Solve for x
    x = 89,799.71/324.79
  6. Step 6: Final answer
    x = 276.49

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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.