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Finding the Fourth Proportional to 243.09, 333.27 and 238.71

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Solution

The fourth proportional to 243.09, 333.27 and 238.71 is: 327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.09 : 333.27 = 238.71 : x
  2. Step 2: Convert to fraction form
    243.09/333.27 = 238.71/x
  3. Step 3: Cross multiply
    243.09x = 333.27 × 238.71
  4. Step 4: Simplify right side
    243.09x = 79,554.88
  5. Step 5: Solve for x
    x = 79,554.88/243.09
  6. Step 6: Final answer
    x = 327.27

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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.