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Finding the Fourth Proportional to 223.94, 333.68 and 209.96

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Solution

The fourth proportional to 223.94, 333.68 and 209.96 is: 312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.94 : 333.68 = 209.96 : x
  2. Step 2: Convert to fraction form
    223.94/333.68 = 209.96/x
  3. Step 3: Cross multiply
    223.94x = 333.68 × 209.96
  4. Step 4: Simplify right side
    223.94x = 70,059.45
  5. Step 5: Solve for x
    x = 70,059.45/223.94
  6. Step 6: Final answer
    x = 312.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.