Finding the Fourth Proportional to 157.09, 235.50 and 96.26
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Solution
The fourth proportional to 157.09, 235.50 and 96.26 is: 144.31
Step by Step Solution
- Step 1: Write the proportion equation
157.09 : 235.50 = 96.26 : x - Step 2: Convert to fraction form
157.09/235.50 = 96.26/x - Step 3: Cross multiply
157.09x = 235.50 × 96.26 - Step 4: Simplify right side
157.09x = 22,669.23 - Step 5: Solve for x
x = 22,669.23/157.09 - Step 6: Final answer
x = 144.31
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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.