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Finding the Fourth Proportional to 227.16, 312.71 and 171.81

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Solution

The fourth proportional to 227.16, 312.71 and 171.81 is: 236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 312.71 = 171.81 : x
  2. Step 2: Convert to fraction form
    227.16/312.71 = 171.81/x
  3. Step 3: Cross multiply
    227.16x = 312.71 × 171.81
  4. Step 4: Simplify right side
    227.16x = 53,725.85
  5. Step 5: Solve for x
    x = 53,725.85/227.16
  6. Step 6: Final answer
    x = 236.51

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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.