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Finding the Fourth Proportional to 193.96, 289.49 and 178.84

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Solution

The fourth proportional to 193.96, 289.49 and 178.84 is: 266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.96 : 289.49 = 178.84 : x
  2. Step 2: Convert to fraction form
    193.96/289.49 = 178.84/x
  3. Step 3: Cross multiply
    193.96x = 289.49 × 178.84
  4. Step 4: Simplify right side
    193.96x = 51,772.39
  5. Step 5: Solve for x
    x = 51,772.39/193.96
  6. Step 6: Final answer
    x = 266.92

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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.