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Finding the Fourth Proportional to 324.85, 448.31 and 200.49

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Solution

The fourth proportional to 324.85, 448.31 and 200.49 is: 276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.85 : 448.31 = 200.49 : x
  2. Step 2: Convert to fraction form
    324.85/448.31 = 200.49/x
  3. Step 3: Cross multiply
    324.85x = 448.31 × 200.49
  4. Step 4: Simplify right side
    324.85x = 89,881.67
  5. Step 5: Solve for x
    x = 89,881.67/324.85
  6. Step 6: Final answer
    x = 276.69

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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.