Finding the Fourth Proportional to 327.24, 490.86 and 199.26
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Solution
The fourth proportional to 327.24, 490.86 and 199.26 is: 298.89
Step by Step Solution
- Step 1: Write the proportion equation
327.24 : 490.86 = 199.26 : x - Step 2: Convert to fraction form
327.24/490.86 = 199.26/x - Step 3: Cross multiply
327.24x = 490.86 × 199.26 - Step 4: Simplify right side
327.24x = 97,808.76 - Step 5: Solve for x
x = 97,808.76/327.24 - Step 6: Final answer
x = 298.89
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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.