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Finding the Fourth Proportional to 227.05, 338.58 and 214.54

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Solution

The fourth proportional to 227.05, 338.58 and 214.54 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.05 : 338.58 = 214.54 : x
  2. Step 2: Convert to fraction form
    227.05/338.58 = 214.54/x
  3. Step 3: Cross multiply
    227.05x = 338.58 × 214.54
  4. Step 4: Simplify right side
    227.05x = 72,640.01
  5. Step 5: Solve for x
    x = 72,640.01/227.05
  6. Step 6: Final answer
    x = 319.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.