Finding the Fourth Proportional to 157.76, 236.63 and 76.58
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Solution
The fourth proportional to 157.76, 236.63 and 76.58 is: 114.87
Step by Step Solution
- Step 1: Write the proportion equation
157.76 : 236.63 = 76.58 : x - Step 2: Convert to fraction form
157.76/236.63 = 76.58/x - Step 3: Cross multiply
157.76x = 236.63 × 76.58 - Step 4: Simplify right side
157.76x = 18,121.13 - Step 5: Solve for x
x = 18,121.13/157.76 - Step 6: Final answer
x = 114.87
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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.