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Finding the Fourth Proportional to 226.71, 313.29 and 171.36

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Solution

The fourth proportional to 226.71, 313.29 and 171.36 is: 236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.71 : 313.29 = 171.36 : x
  2. Step 2: Convert to fraction form
    226.71/313.29 = 171.36/x
  3. Step 3: Cross multiply
    226.71x = 313.29 × 171.36
  4. Step 4: Simplify right side
    226.71x = 53,684.52
  5. Step 5: Solve for x
    x = 53,684.52/226.71
  6. Step 6: Final answer
    x = 236.80

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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.