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Finding the Fourth Proportional to 227.92, 314.35 and 181.21

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Solution

The fourth proportional to 227.92, 314.35 and 181.21 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.92 : 314.35 = 181.21 : x
  2. Step 2: Convert to fraction form
    227.92/314.35 = 181.21/x
  3. Step 3: Cross multiply
    227.92x = 314.35 × 181.21
  4. Step 4: Simplify right side
    227.92x = 56,963.36
  5. Step 5: Solve for x
    x = 56,963.36/227.92
  6. Step 6: Final answer
    x = 249.93

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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.