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Finding the Fourth Proportional to 227.59, 342.86 and 224.75

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Solution

The fourth proportional to 227.59, 342.86 and 224.75 is: 338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 342.86 = 224.75 : x
  2. Step 2: Convert to fraction form
    227.59/342.86 = 224.75/x
  3. Step 3: Cross multiply
    227.59x = 342.86 × 224.75
  4. Step 4: Simplify right side
    227.59x = 77,057.52
  5. Step 5: Solve for x
    x = 77,057.52/227.59
  6. Step 6: Final answer
    x = 338.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.