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Finding the Fourth Proportional to 227.58, 313.97 and 134.30

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Solution

The fourth proportional to 227.58, 313.97 and 134.30 is: 185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.58 : 313.97 = 134.30 : x
  2. Step 2: Convert to fraction form
    227.58/313.97 = 134.30/x
  3. Step 3: Cross multiply
    227.58x = 313.97 × 134.30
  4. Step 4: Simplify right side
    227.58x = 42,163.93
  5. Step 5: Solve for x
    x = 42,163.93/227.58
  6. Step 6: Final answer
    x = 185.27

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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.