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Finding the Fourth Proportional to 227.32, 312.91 and 161.72

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Solution

The fourth proportional to 227.32, 312.91 and 161.72 is: 222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.32 : 312.91 = 161.72 : x
  2. Step 2: Convert to fraction form
    227.32/312.91 = 161.72/x
  3. Step 3: Cross multiply
    227.32x = 312.91 × 161.72
  4. Step 4: Simplify right side
    227.32x = 50,603.81
  5. Step 5: Solve for x
    x = 50,603.81/227.32
  6. Step 6: Final answer
    x = 222.61

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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.