Finding the Fourth Proportional to 112.50, 168.75 and 27
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Solution
The fourth proportional to 112.50, 168.75 and 27 is: 40.50
Step by Step Solution
- Step 1: Write the proportion equation
112.50 : 168.75 = 27 : x - Step 2: Convert to fraction form
112.50/168.75 = 27/x - Step 3: Cross multiply
112.50x = 168.75 × 27 - Step 4: Simplify right side
112.50x = 4,556.25 - Step 5: Solve for x
x = 4,556.25/112.50 - Step 6: Final answer
x = 40.50
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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.