Finding the Fourth Proportional to 81.80, 122.73 and 27.70
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Solution
The fourth proportional to 81.80, 122.73 and 27.70 is: 41.56
Step by Step Solution
- Step 1: Write the proportion equation
81.80 : 122.73 = 27.70 : x - Step 2: Convert to fraction form
81.80/122.73 = 27.70/x - Step 3: Cross multiply
81.80x = 122.73 × 27.70 - Step 4: Simplify right side
81.80x = 3,400.06 - Step 5: Solve for x
x = 3,400.06/81.80 - Step 6: Final answer
x = 41.56
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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.