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Finding the Fourth Proportional to 227.71, 312.19 and 221.59

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Solution

The fourth proportional to 227.71, 312.19 and 221.59 is: 303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.71 : 312.19 = 221.59 : x
  2. Step 2: Convert to fraction form
    227.71/312.19 = 221.59/x
  3. Step 3: Cross multiply
    227.71x = 312.19 × 221.59
  4. Step 4: Simplify right side
    227.71x = 69,178.18
  5. Step 5: Solve for x
    x = 69,178.18/227.71
  6. Step 6: Final answer
    x = 303.80

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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.