Finding the Fourth Proportional to 195.14, 292.62 and 107.23
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Solution
The fourth proportional to 195.14, 292.62 and 107.23 is: 160.80
Step by Step Solution
- Step 1: Write the proportion equation
195.14 : 292.62 = 107.23 : x - Step 2: Convert to fraction form
195.14/292.62 = 107.23/x - Step 3: Cross multiply
195.14x = 292.62 × 107.23 - Step 4: Simplify right side
195.14x = 31,378.21 - Step 5: Solve for x
x = 31,378.21/195.14 - Step 6: Final answer
x = 160.80
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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.