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Finding the Fourth Proportional to 227.16, 314.28 and 218.16

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Solution

The fourth proportional to 227.16, 314.28 and 218.16 is: 301.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 314.28 = 218.16 : x
  2. Step 2: Convert to fraction form
    227.16/314.28 = 218.16/x
  3. Step 3: Cross multiply
    227.16x = 314.28 × 218.16
  4. Step 4: Simplify right side
    227.16x = 68,563.32
  5. Step 5: Solve for x
    x = 68,563.32/227.16
  6. Step 6: Final answer
    x = 301.83

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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.