Finding the Fourth Proportional to 157.26, 235.79 and 76.06
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Solution
The fourth proportional to 157.26, 235.79 and 76.06 is: 114.03
Step by Step Solution
- Step 1: Write the proportion equation
157.26 : 235.79 = 76.06 : x - Step 2: Convert to fraction form
157.26/235.79 = 76.06/x - Step 3: Cross multiply
157.26x = 235.79 × 76.06 - Step 4: Simplify right side
157.26x = 17,932.63 - Step 5: Solve for x
x = 17,932.63/157.26 - Step 6: Final answer
x = 114.03
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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.