Finding the Fourth Proportional to 327.23, 490.99 and 164.92
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Solution
The fourth proportional to 327.23, 490.99 and 164.92 is: 247.45
Step by Step Solution
- Step 1: Write the proportion equation
327.23 : 490.99 = 164.92 : x - Step 2: Convert to fraction form
327.23/490.99 = 164.92/x - Step 3: Cross multiply
327.23x = 490.99 × 164.92 - Step 4: Simplify right side
327.23x = 80,974.07 - Step 5: Solve for x
x = 80,974.07/327.23 - Step 6: Final answer
x = 247.45
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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.