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Finding the Fourth Proportional to 243.11, 333.69 and 222.35

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Solution

The fourth proportional to 243.11, 333.69 and 222.35 is: 305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.11 : 333.69 = 222.35 : x
  2. Step 2: Convert to fraction form
    243.11/333.69 = 222.35/x
  3. Step 3: Cross multiply
    243.11x = 333.69 × 222.35
  4. Step 4: Simplify right side
    243.11x = 74,195.55
  5. Step 5: Solve for x
    x = 74,195.55/243.11
  6. Step 6: Final answer
    x = 305.19

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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.