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Finding the Fourth Proportional to 322.72, 483.26 and 200.61

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Solution

The fourth proportional to 322.72, 483.26 and 200.61 is: 300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 483.26 = 200.61 : x
  2. Step 2: Convert to fraction form
    322.72/483.26 = 200.61/x
  3. Step 3: Cross multiply
    322.72x = 483.26 × 200.61
  4. Step 4: Simplify right side
    322.72x = 96,946.79
  5. Step 5: Solve for x
    x = 96,946.79/322.72
  6. Step 6: Final answer
    x = 300.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.