Finding the Fourth Proportional to 122.15, 181.97 and 114.68
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Solution
The fourth proportional to 122.15, 181.97 and 114.68 is: 170.84
Step by Step Solution
- Step 1: Write the proportion equation
122.15 : 181.97 = 114.68 : x - Step 2: Convert to fraction form
122.15/181.97 = 114.68/x - Step 3: Cross multiply
122.15x = 181.97 × 114.68 - Step 4: Simplify right side
122.15x = 20,868.63 - Step 5: Solve for x
x = 20,868.63/122.15 - Step 6: Final answer
x = 170.84
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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.