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Finding the Fourth Proportional to 224.12, 308.58 and 194.84

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Solution

The fourth proportional to 224.12, 308.58 and 194.84 is: 268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 308.58 = 194.84 : x
  2. Step 2: Convert to fraction form
    224.12/308.58 = 194.84/x
  3. Step 3: Cross multiply
    224.12x = 308.58 × 194.84
  4. Step 4: Simplify right side
    224.12x = 60,123.73
  5. Step 5: Solve for x
    x = 60,123.73/224.12
  6. Step 6: Final answer
    x = 268.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.