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Finding the Fourth Proportional to 492.14, 738.05 and 163.02

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Solution

The fourth proportional to 492.14, 738.05 and 163.02 is: 244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.14 : 738.05 = 163.02 : x
  2. Step 2: Convert to fraction form
    492.14/738.05 = 163.02/x
  3. Step 3: Cross multiply
    492.14x = 738.05 × 163.02
  4. Step 4: Simplify right side
    492.14x = 120,313.02
  5. Step 5: Solve for x
    x = 120,313.02/492.14
  6. Step 6: Final answer
    x = 244.47

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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.