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Finding the Fourth Proportional to 230.75, 344.23 and 224.47

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Solution

The fourth proportional to 230.75, 344.23 and 224.47 is: 334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.75 : 344.23 = 224.47 : x
  2. Step 2: Convert to fraction form
    230.75/344.23 = 224.47/x
  3. Step 3: Cross multiply
    230.75x = 344.23 × 224.47
  4. Step 4: Simplify right side
    230.75x = 77,267.59
  5. Step 5: Solve for x
    x = 77,267.59/230.75
  6. Step 6: Final answer
    x = 334.86

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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.