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Finding the Fourth Proportional to 227.42, 313.94 and 186.41

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Solution

The fourth proportional to 227.42, 313.94 and 186.41 is: 257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 313.94 = 186.41 : x
  2. Step 2: Convert to fraction form
    227.42/313.94 = 186.41/x
  3. Step 3: Cross multiply
    227.42x = 313.94 × 186.41
  4. Step 4: Simplify right side
    227.42x = 58,521.14
  5. Step 5: Solve for x
    x = 58,521.14/227.42
  6. Step 6: Final answer
    x = 257.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.