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Finding the Fourth Proportional to 243.09, 334.73 and 217.80

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Solution

The fourth proportional to 243.09, 334.73 and 217.80 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 334.73 = 217.80 : x
  2. Step 2: Convert to fraction form
    243.09/334.73 = 217.80/x
  3. Step 3: Cross multiply
    243.09x = 334.73 × 217.80
  4. Step 4: Simplify right side
    243.09x = 72,903.11
  5. Step 5: Solve for x
    x = 72,903.11/243.09
  6. Step 6: Final answer
    x = 299.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.