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Finding the Fourth Proportional to 415.00, 621.94 and 219.95

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Solution

The fourth proportional to 415.00, 621.94 and 219.95 is: 329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.00 : 621.94 = 219.95 : x
  2. Step 2: Convert to fraction form
    415.00/621.94 = 219.95/x
  3. Step 3: Cross multiply
    415.00x = 621.94 × 219.95
  4. Step 4: Simplify right side
    415.00x = 136,791.49
  5. Step 5: Solve for x
    x = 136,791.49/415.00
  6. Step 6: Final answer
    x = 329.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.