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Finding the Fourth Proportional to 492.65, 739.02 and 163.58

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Solution

The fourth proportional to 492.65, 739.02 and 163.58 is: 245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.65 : 739.02 = 163.58 : x
  2. Step 2: Convert to fraction form
    492.65/739.02 = 163.58/x
  3. Step 3: Cross multiply
    492.65x = 739.02 × 163.58
  4. Step 4: Simplify right side
    492.65x = 120,889.97
  5. Step 5: Solve for x
    x = 120,889.97/492.65
  6. Step 6: Final answer
    x = 245.38

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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.