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Finding the Fourth Proportional to 220.43, 301.95 and 218

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Solution

The fourth proportional to 220.43, 301.95 and 218 is: 298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.43 : 301.95 = 218 : x
  2. Step 2: Convert to fraction form
    220.43/301.95 = 218/x
  3. Step 3: Cross multiply
    220.43x = 301.95 × 218
  4. Step 4: Simplify right side
    220.43x = 65,825.10
  5. Step 5: Solve for x
    x = 65,825.10/220.43
  6. Step 6: Final answer
    x = 298.62

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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.