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Finding the Fourth Proportional to 324.96, 448.25 and 200.53

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Solution

The fourth proportional to 324.96, 448.25 and 200.53 is: 276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 448.25 = 200.53 : x
  2. Step 2: Convert to fraction form
    324.96/448.25 = 200.53/x
  3. Step 3: Cross multiply
    324.96x = 448.25 × 200.53
  4. Step 4: Simplify right side
    324.96x = 89,887.57
  5. Step 5: Solve for x
    x = 89,887.57/324.96
  6. Step 6: Final answer
    x = 276.61

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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.