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Finding the Fourth Proportional to 243.23, 333.86 and 224.75

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Solution

The fourth proportional to 243.23, 333.86 and 224.75 is: 308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.23 : 333.86 = 224.75 : x
  2. Step 2: Convert to fraction form
    243.23/333.86 = 224.75/x
  3. Step 3: Cross multiply
    243.23x = 333.86 × 224.75
  4. Step 4: Simplify right side
    243.23x = 75,034.75
  5. Step 5: Solve for x
    x = 75,034.75/243.23
  6. Step 6: Final answer
    x = 308.50

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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.