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Finding the Fourth Proportional to 227.84, 315.96 and 221.92

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Solution

The fourth proportional to 227.84, 315.96 and 221.92 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.84 : 315.96 = 221.92 : x
  2. Step 2: Convert to fraction form
    227.84/315.96 = 221.92/x
  3. Step 3: Cross multiply
    227.84x = 315.96 × 221.92
  4. Step 4: Simplify right side
    227.84x = 70,117.84
  5. Step 5: Solve for x
    x = 70,117.84/227.84
  6. Step 6: Final answer
    x = 307.75

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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.