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Finding the Fourth Proportional to 243.83, 363.71 and 224.12

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Solution

The fourth proportional to 243.83, 363.71 and 224.12 is: 334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.83 : 363.71 = 224.12 : x
  2. Step 2: Convert to fraction form
    243.83/363.71 = 224.12/x
  3. Step 3: Cross multiply
    243.83x = 363.71 × 224.12
  4. Step 4: Simplify right side
    243.83x = 81,516.15
  5. Step 5: Solve for x
    x = 81,516.15/243.83
  6. Step 6: Final answer
    x = 334.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.