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Finding the Fourth Proportional to 324.63, 448.07 and 200.39

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Solution

The fourth proportional to 324.63, 448.07 and 200.39 is: 276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.63 : 448.07 = 200.39 : x
  2. Step 2: Convert to fraction form
    324.63/448.07 = 200.39/x
  3. Step 3: Cross multiply
    324.63x = 448.07 × 200.39
  4. Step 4: Simplify right side
    324.63x = 89,787.19
  5. Step 5: Solve for x
    x = 89,787.19/324.63
  6. Step 6: Final answer
    x = 276.59

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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.