Finding the Fourth Proportional to 166.23, 249.06 and 97.68
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Solution
The fourth proportional to 166.23, 249.06 and 97.68 is: 146.35
Step by Step Solution
- Step 1: Write the proportion equation
166.23 : 249.06 = 97.68 : x - Step 2: Convert to fraction form
166.23/249.06 = 97.68/x - Step 3: Cross multiply
166.23x = 249.06 × 97.68 - Step 4: Simplify right side
166.23x = 24,328.18 - Step 5: Solve for x
x = 24,328.18/166.23 - Step 6: Final answer
x = 146.35
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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.