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Finding the Fourth Proportional to 245.22, 336.69 and 227.82

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Solution

The fourth proportional to 245.22, 336.69 and 227.82 is: 312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.22 : 336.69 = 227.82 : x
  2. Step 2: Convert to fraction form
    245.22/336.69 = 227.82/x
  3. Step 3: Cross multiply
    245.22x = 336.69 × 227.82
  4. Step 4: Simplify right side
    245.22x = 76,704.72
  5. Step 5: Solve for x
    x = 76,704.72/245.22
  6. Step 6: Final answer
    x = 312.80

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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.