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Finding the Fourth Proportional to 243.09, 366.08 and 219.00

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Solution

The fourth proportional to 243.09, 366.08 and 219.00 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 366.08 = 219.00 : x
  2. Step 2: Convert to fraction form
    243.09/366.08 = 219.00/x
  3. Step 3: Cross multiply
    243.09x = 366.08 × 219.00
  4. Step 4: Simplify right side
    243.09x = 80,171.80
  5. Step 5: Solve for x
    x = 80,171.80/243.09
  6. Step 6: Final answer
    x = 329.80

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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.