Finding the Fourth Proportional to 105.22, 157.86 and 33.08
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Solution
The fourth proportional to 105.22, 157.86 and 33.08 is: 49.62
Step by Step Solution
- Step 1: Write the proportion equation
105.22 : 157.86 = 33.08 : x - Step 2: Convert to fraction form
105.22/157.86 = 33.08/x - Step 3: Cross multiply
105.22x = 157.86 × 33.08 - Step 4: Simplify right side
105.22x = 5,221.05 - Step 5: Solve for x
x = 5,221.05/105.22 - Step 6: Final answer
x = 49.62
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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.