Finding the Fourth Proportional to 188.62, 282.99 and 107.62
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Solution
The fourth proportional to 188.62, 282.99 and 107.62 is: 161.46
Step by Step Solution
- Step 1: Write the proportion equation
188.62 : 282.99 = 107.62 : x - Step 2: Convert to fraction form
188.62/282.99 = 107.62/x - Step 3: Cross multiply
188.62x = 282.99 × 107.62 - Step 4: Simplify right side
188.62x = 30,453.97 - Step 5: Solve for x
x = 30,453.97/188.62 - Step 6: Final answer
x = 161.46
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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.