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Finding the Fourth Proportional to 227.02, 313.44 and 171.88

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Solution

The fourth proportional to 227.02, 313.44 and 171.88 is: 237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.02 : 313.44 = 171.88 : x
  2. Step 2: Convert to fraction form
    227.02/313.44 = 171.88/x
  3. Step 3: Cross multiply
    227.02x = 313.44 × 171.88
  4. Step 4: Simplify right side
    227.02x = 53,874.07
  5. Step 5: Solve for x
    x = 53,874.07/227.02
  6. Step 6: Final answer
    x = 237.31

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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.