Finding the Fourth Proportional to 122.74, 170.08 and 121
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Solution
The fourth proportional to 122.74, 170.08 and 121 is: 167.67
Step by Step Solution
- Step 1: Write the proportion equation
122.74 : 170.08 = 121 : x - Step 2: Convert to fraction form
122.74/170.08 = 121/x - Step 3: Cross multiply
122.74x = 170.08 × 121 - Step 4: Simplify right side
122.74x = 20,579.68 - Step 5: Solve for x
x = 20,579.68/122.74 - Step 6: Final answer
x = 167.67
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Why These Related Problems?
These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.