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Finding the Fourth Proportional to 227.93, 312.51 and 223.82

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Solution

The fourth proportional to 227.93, 312.51 and 223.82 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.93 : 312.51 = 223.82 : x
  2. Step 2: Convert to fraction form
    227.93/312.51 = 223.82/x
  3. Step 3: Cross multiply
    227.93x = 312.51 × 223.82
  4. Step 4: Simplify right side
    227.93x = 69,944.87
  5. Step 5: Solve for x
    x = 69,944.87/227.93
  6. Step 6: Final answer
    x = 306.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.