Finding the Fourth Proportional to 284.73, 427.11 and 122.43
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Solution
The fourth proportional to 284.73, 427.11 and 122.43 is: 183.65
Step by Step Solution
- Step 1: Write the proportion equation
284.73 : 427.11 = 122.43 : x - Step 2: Convert to fraction form
284.73/427.11 = 122.43/x - Step 3: Cross multiply
284.73x = 427.11 × 122.43 - Step 4: Simplify right side
284.73x = 52,291.08 - Step 5: Solve for x
x = 52,291.08/284.73 - Step 6: Final answer
x = 183.65
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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.