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Finding the Fourth Proportional to 223.46, 336.83 and 204.98

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Solution

The fourth proportional to 223.46, 336.83 and 204.98 is: 308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.46 : 336.83 = 204.98 : x
  2. Step 2: Convert to fraction form
    223.46/336.83 = 204.98/x
  3. Step 3: Cross multiply
    223.46x = 336.83 × 204.98
  4. Step 4: Simplify right side
    223.46x = 69,043.41
  5. Step 5: Solve for x
    x = 69,043.41/223.46
  6. Step 6: Final answer
    x = 308.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.