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Finding the Fourth Proportional to 324.42, 447.70 and 200.07

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Solution

The fourth proportional to 324.42, 447.70 and 200.07 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 447.70 = 200.07 : x
  2. Step 2: Convert to fraction form
    324.42/447.70 = 200.07/x
  3. Step 3: Cross multiply
    324.42x = 447.70 × 200.07
  4. Step 4: Simplify right side
    324.42x = 89,571.34
  5. Step 5: Solve for x
    x = 89,571.34/324.42
  6. Step 6: Final answer
    x = 276.10

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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.