Finding the Fourth Proportional to 284.81, 427.26 and 122.49
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Solution
The fourth proportional to 284.81, 427.26 and 122.49 is: 183.75
Step by Step Solution
- Step 1: Write the proportion equation
284.81 : 427.26 = 122.49 : x - Step 2: Convert to fraction form
284.81/427.26 = 122.49/x - Step 3: Cross multiply
284.81x = 427.26 × 122.49 - Step 4: Simplify right side
284.81x = 52,335.08 - Step 5: Solve for x
x = 52,335.08/284.81 - Step 6: Final answer
x = 183.75
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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.