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Finding the Fourth Proportional to 223.96, 334.49 and 211.48

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Solution

The fourth proportional to 223.96, 334.49 and 211.48 is: 315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.96 : 334.49 = 211.48 : x
  2. Step 2: Convert to fraction form
    223.96/334.49 = 211.48/x
  3. Step 3: Cross multiply
    223.96x = 334.49 × 211.48
  4. Step 4: Simplify right side
    223.96x = 70,737.95
  5. Step 5: Solve for x
    x = 70,737.95/223.96
  6. Step 6: Final answer
    x = 315.85

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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.