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Finding the Fourth Proportional to 243.61, 334.38 and 222.85

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Solution

The fourth proportional to 243.61, 334.38 and 222.85 is: 305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.61 : 334.38 = 222.85 : x
  2. Step 2: Convert to fraction form
    243.61/334.38 = 222.85/x
  3. Step 3: Cross multiply
    243.61x = 334.38 × 222.85
  4. Step 4: Simplify right side
    243.61x = 74,515.47
  5. Step 5: Solve for x
    x = 74,515.47/243.61
  6. Step 6: Final answer
    x = 305.88

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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.