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Finding the Fourth Proportional to 223.84, 334.31 and 211.42

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Solution

The fourth proportional to 223.84, 334.31 and 211.42 is: 315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 334.31 = 211.42 : x
  2. Step 2: Convert to fraction form
    223.84/334.31 = 211.42/x
  3. Step 3: Cross multiply
    223.84x = 334.31 × 211.42
  4. Step 4: Simplify right side
    223.84x = 70,679.82
  5. Step 5: Solve for x
    x = 70,679.82/223.84
  6. Step 6: Final answer
    x = 315.76

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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.