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Finding the Fourth Proportional to 227.28, 313.60 and 174.88

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Solution

The fourth proportional to 227.28, 313.60 and 174.88 is: 241.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.28 : 313.60 = 174.88 : x
  2. Step 2: Convert to fraction form
    227.28/313.60 = 174.88/x
  3. Step 3: Cross multiply
    227.28x = 313.60 × 174.88
  4. Step 4: Simplify right side
    227.28x = 54,842.37
  5. Step 5: Solve for x
    x = 54,842.37/227.28
  6. Step 6: Final answer
    x = 241.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.