Finding the Fourth Proportional to 81.82, 122.78 and 40.65
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Solution
The fourth proportional to 81.82, 122.78 and 40.65 is: 60.99
Step by Step Solution
- Step 1: Write the proportion equation
81.82 : 122.78 = 40.65 : x - Step 2: Convert to fraction form
81.82/122.78 = 40.65/x - Step 3: Cross multiply
81.82x = 122.78 × 40.65 - Step 4: Simplify right side
81.82x = 4,990.19 - Step 5: Solve for x
x = 4,990.19/81.82 - Step 6: Final answer
x = 60.99
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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.