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Finding the Fourth Proportional to 360.22, 496.93 and 227.38

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Solution

The fourth proportional to 360.22, 496.93 and 227.38 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 496.93 = 227.38 : x
  2. Step 2: Convert to fraction form
    360.22/496.93 = 227.38/x
  3. Step 3: Cross multiply
    360.22x = 496.93 × 227.38
  4. Step 4: Simplify right side
    360.22x = 112,991.94
  5. Step 5: Solve for x
    x = 112,991.94/360.22
  6. Step 6: Final answer
    x = 313.67

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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.