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Finding the Fourth Proportional to 223.84, 334.12 and 196.52

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Solution

The fourth proportional to 223.84, 334.12 and 196.52 is: 293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 334.12 = 196.52 : x
  2. Step 2: Convert to fraction form
    223.84/334.12 = 196.52/x
  3. Step 3: Cross multiply
    223.84x = 334.12 × 196.52
  4. Step 4: Simplify right side
    223.84x = 65,661.26
  5. Step 5: Solve for x
    x = 65,661.26/223.84
  6. Step 6: Final answer
    x = 293.34

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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.