Finding the Fourth Proportional to 382.14, 573.08 and 122.09
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Solution
The fourth proportional to 382.14, 573.08 and 122.09 is: 183.08
Step by Step Solution
- Step 1: Write the proportion equation
382.14 : 573.08 = 122.09 : x - Step 2: Convert to fraction form
382.14/573.08 = 122.09/x - Step 3: Cross multiply
382.14x = 573.08 × 122.09 - Step 4: Simplify right side
382.14x = 69,963.86 - Step 5: Solve for x
x = 69,963.86/382.14 - Step 6: Final answer
x = 183.08
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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.