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Finding the Fourth Proportional to 218.52, 325.80 and 200.43

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Solution

The fourth proportional to 218.52, 325.80 and 200.43 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 325.80 = 200.43 : x
  2. Step 2: Convert to fraction form
    218.52/325.80 = 200.43/x
  3. Step 3: Cross multiply
    218.52x = 325.80 × 200.43
  4. Step 4: Simplify right side
    218.52x = 65,300.09
  5. Step 5: Solve for x
    x = 65,300.09/218.52
  6. Step 6: Final answer
    x = 298.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.