Finding the Fourth Proportional to 296.70, 409.26 and 213.99
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Solution
The fourth proportional to 296.70, 409.26 and 213.99 is: 295.17
Step by Step Solution
- Step 1: Write the proportion equation
296.70 : 409.26 = 213.99 : x - Step 2: Convert to fraction form
296.70/409.26 = 213.99/x - Step 3: Cross multiply
296.70x = 409.26 × 213.99 - Step 4: Simplify right side
296.70x = 87,577.55 - Step 5: Solve for x
x = 87,577.55/296.70 - Step 6: Final answer
x = 295.17
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.