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Finding the Fourth Proportional to 193.08, 289.46 and 79

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Solution

The fourth proportional to 193.08, 289.46 and 79 is: 118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 289.46 = 79 : x
  2. Step 2: Convert to fraction form
    193.08/289.46 = 79/x
  3. Step 3: Cross multiply
    193.08x = 289.46 × 79
  4. Step 4: Simplify right side
    193.08x = 22,867.34
  5. Step 5: Solve for x
    x = 22,867.34/193.08
  6. Step 6: Final answer
    x = 118.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.