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Finding the Fourth Proportional to 227.38, 315.51 and 218.24

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Solution

The fourth proportional to 227.38, 315.51 and 218.24 is: 302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.38 : 315.51 = 218.24 : x
  2. Step 2: Convert to fraction form
    227.38/315.51 = 218.24/x
  3. Step 3: Cross multiply
    227.38x = 315.51 × 218.24
  4. Step 4: Simplify right side
    227.38x = 68,855.81
  5. Step 5: Solve for x
    x = 68,855.81/227.38
  6. Step 6: Final answer
    x = 302.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.