Finding the Fourth Proportional to 40.82, 61.05 and 27.99
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Solution
The fourth proportional to 40.82, 61.05 and 27.99 is: 41.87
Step by Step Solution
- Step 1: Write the proportion equation
40.82 : 61.05 = 27.99 : x - Step 2: Convert to fraction form
40.82/61.05 = 27.99/x - Step 3: Cross multiply
40.82x = 61.05 × 27.99 - Step 4: Simplify right side
40.82x = 1,708.89 - Step 5: Solve for x
x = 1,708.89/40.82 - Step 6: Final answer
x = 41.87
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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.