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Finding the Fourth Proportional to 219.63, 330.66 and 200.50

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Solution

The fourth proportional to 219.63, 330.66 and 200.50 is: 301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.63 : 330.66 = 200.50 : x
  2. Step 2: Convert to fraction form
    219.63/330.66 = 200.50/x
  3. Step 3: Cross multiply
    219.63x = 330.66 × 200.50
  4. Step 4: Simplify right side
    219.63x = 66,296.50
  5. Step 5: Solve for x
    x = 66,296.50/219.63
  6. Step 6: Final answer
    x = 301.85

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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.