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Finding the Fourth Proportional to 218.95, 300.50 and 200.41

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Solution

The fourth proportional to 218.95, 300.50 and 200.41 is: 275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.95 : 300.50 = 200.41 : x
  2. Step 2: Convert to fraction form
    218.95/300.50 = 200.41/x
  3. Step 3: Cross multiply
    218.95x = 300.50 × 200.41
  4. Step 4: Simplify right side
    218.95x = 60,223.21
  5. Step 5: Solve for x
    x = 60,223.21/218.95
  6. Step 6: Final answer
    x = 275.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.