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Finding the Fourth Proportional to 218.52, 329.49 and 200.52

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Solution

The fourth proportional to 218.52, 329.49 and 200.52 is: 302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 329.49 = 200.52 : x
  2. Step 2: Convert to fraction form
    218.52/329.49 = 200.52/x
  3. Step 3: Cross multiply
    218.52x = 329.49 × 200.52
  4. Step 4: Simplify right side
    218.52x = 66,069.33
  5. Step 5: Solve for x
    x = 66,069.33/218.52
  6. Step 6: Final answer
    x = 302.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.