Finding the Fourth Proportional to 157.80, 236.74 and 76.70
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Solution
The fourth proportional to 157.80, 236.74 and 76.70 is: 115.07
Step by Step Solution
- Step 1: Write the proportion equation
157.80 : 236.74 = 76.70 : x - Step 2: Convert to fraction form
157.80/236.74 = 76.70/x - Step 3: Cross multiply
157.80x = 236.74 × 76.70 - Step 4: Simplify right side
157.80x = 18,157.96 - Step 5: Solve for x
x = 18,157.96/157.80 - Step 6: Final answer
x = 115.07
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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.