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Finding the Fourth Proportional to 219.39, 301.16 and 199.95

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Solution

The fourth proportional to 219.39, 301.16 and 199.95 is: 274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.39 : 301.16 = 199.95 : x
  2. Step 2: Convert to fraction form
    219.39/301.16 = 199.95/x
  3. Step 3: Cross multiply
    219.39x = 301.16 × 199.95
  4. Step 4: Simplify right side
    219.39x = 60,215.94
  5. Step 5: Solve for x
    x = 60,215.94/219.39
  6. Step 6: Final answer
    x = 274.47

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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.