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Finding the Fourth Proportional to 492.84, 739.19 and 163.79

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Solution

The fourth proportional to 492.84, 739.19 and 163.79 is: 245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 739.19 = 163.79 : x
  2. Step 2: Convert to fraction form
    492.84/739.19 = 163.79/x
  3. Step 3: Cross multiply
    492.84x = 739.19 × 163.79
  4. Step 4: Simplify right side
    492.84x = 121,067.42
  5. Step 5: Solve for x
    x = 121,067.42/492.84
  6. Step 6: Final answer
    x = 245.65

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Why These Related Problems?

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