Finding the Fourth Proportional to 213.99, 320.70 and 98.26
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Solution
The fourth proportional to 213.99, 320.70 and 98.26 is: 147.26
Step by Step Solution
- Step 1: Write the proportion equation
213.99 : 320.70 = 98.26 : x - Step 2: Convert to fraction form
213.99/320.70 = 98.26/x - Step 3: Cross multiply
213.99x = 320.70 × 98.26 - Step 4: Simplify right side
213.99x = 31,511.98 - Step 5: Solve for x
x = 31,511.98/213.99 - Step 6: Final answer
x = 147.26
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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.