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Finding the Fourth Proportional to 492.63, 738.86 and 163.57

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Solution

The fourth proportional to 492.63, 738.86 and 163.57 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 738.86 = 163.57 : x
  2. Step 2: Convert to fraction form
    492.63/738.86 = 163.57/x
  3. Step 3: Cross multiply
    492.63x = 738.86 × 163.57
  4. Step 4: Simplify right side
    492.63x = 120,852.67
  5. Step 5: Solve for x
    x = 120,852.67/492.63
  6. Step 6: Final answer
    x = 245.32

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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.