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Finding the Fourth Proportional to 492.63, 739.41 and 249.33

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Solution

The fourth proportional to 492.63, 739.41 and 249.33 is: 374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.63 : 739.41 = 249.33 : x
  2. Step 2: Convert to fraction form
    492.63/739.41 = 249.33/x
  3. Step 3: Cross multiply
    492.63x = 739.41 × 249.33
  4. Step 4: Simplify right side
    492.63x = 184,357.10
  5. Step 5: Solve for x
    x = 184,357.10/492.63
  6. Step 6: Final answer
    x = 374.23

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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.