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Finding the Fourth Proportional to 230.56, 343.61 and 222.76

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Solution

The fourth proportional to 230.56, 343.61 and 222.76 is: 331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 343.61 = 222.76 : x
  2. Step 2: Convert to fraction form
    230.56/343.61 = 222.76/x
  3. Step 3: Cross multiply
    230.56x = 343.61 × 222.76
  4. Step 4: Simplify right side
    230.56x = 76,542.56
  5. Step 5: Solve for x
    x = 76,542.56/230.56
  6. Step 6: Final answer
    x = 331.99

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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.