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Finding the Fourth Proportional to 227.68, 312.16 and 223.57

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Solution

The fourth proportional to 227.68, 312.16 and 223.57 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 312.16 = 223.57 : x
  2. Step 2: Convert to fraction form
    227.68/312.16 = 223.57/x
  3. Step 3: Cross multiply
    227.68x = 312.16 × 223.57
  4. Step 4: Simplify right side
    227.68x = 69,790.17
  5. Step 5: Solve for x
    x = 69,790.17/227.68
  6. Step 6: Final answer
    x = 306.53

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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.