Finding the Fourth Proportional to 122.49, 182.26 and 122.08
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Solution
The fourth proportional to 122.49, 182.26 and 122.08 is: 181.65
Step by Step Solution
- Step 1: Write the proportion equation
122.49 : 182.26 = 122.08 : x - Step 2: Convert to fraction form
122.49/182.26 = 122.08/x - Step 3: Cross multiply
122.49x = 182.26 × 122.08 - Step 4: Simplify right side
122.49x = 22,250.30 - Step 5: Solve for x
x = 22,250.30/122.49 - Step 6: Final answer
x = 181.65
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.