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Finding the Fourth Proportional to 227.56, 339.77 and 225.25

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Solution

The fourth proportional to 227.56, 339.77 and 225.25 is: 336.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.56 : 339.77 = 225.25 : x
  2. Step 2: Convert to fraction form
    227.56/339.77 = 225.25/x
  3. Step 3: Cross multiply
    227.56x = 339.77 × 225.25
  4. Step 4: Simplify right side
    227.56x = 76,533.19
  5. Step 5: Solve for x
    x = 76,533.19/227.56
  6. Step 6: Final answer
    x = 336.32

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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.