Finding the Fourth Proportional to 105.75, 158.36 and 82.80
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Solution
The fourth proportional to 105.75, 158.36 and 82.80 is: 123.99
Step by Step Solution
- Step 1: Write the proportion equation
105.75 : 158.36 = 82.80 : x - Step 2: Convert to fraction form
105.75/158.36 = 82.80/x - Step 3: Cross multiply
105.75x = 158.36 × 82.80 - Step 4: Simplify right side
105.75x = 13,111.79 - Step 5: Solve for x
x = 13,111.79/105.75 - Step 6: Final answer
x = 123.99
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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.