Finding the Fourth Proportional to 226.08, 339.10 and 97.80
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Solution
The fourth proportional to 226.08, 339.10 and 97.80 is: 146.69
Step by Step Solution
- Step 1: Write the proportion equation
226.08 : 339.10 = 97.80 : x - Step 2: Convert to fraction form
226.08/339.10 = 97.80/x - Step 3: Cross multiply
226.08x = 339.10 × 97.80 - Step 4: Simplify right side
226.08x = 33,163.98 - Step 5: Solve for x
x = 33,163.98/226.08 - Step 6: Final answer
x = 146.69
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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.