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Finding the Fourth Proportional to 227.77, 339.38 and 203.54

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Solution

The fourth proportional to 227.77, 339.38 and 203.54 is: 303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.77 : 339.38 = 203.54 : x
  2. Step 2: Convert to fraction form
    227.77/339.38 = 203.54/x
  3. Step 3: Cross multiply
    227.77x = 339.38 × 203.54
  4. Step 4: Simplify right side
    227.77x = 69,076.22
  5. Step 5: Solve for x
    x = 69,076.22/227.77
  6. Step 6: Final answer
    x = 303.28

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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.