Finding the Fourth Proportional to 166.92, 230.42 and 107.99
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Solution
The fourth proportional to 166.92, 230.42 and 107.99 is: 149.06
Step by Step Solution
- Step 1: Write the proportion equation
166.92 : 230.42 = 107.99 : x - Step 2: Convert to fraction form
166.92/230.42 = 107.99/x - Step 3: Cross multiply
166.92x = 230.42 × 107.99 - Step 4: Simplify right side
166.92x = 24,881.36 - Step 5: Solve for x
x = 24,881.36/166.92 - Step 6: Final answer
x = 149.06
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.