Finding the Fourth Proportional to 296.99, 409.76 and 178.97
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Solution
The fourth proportional to 296.99, 409.76 and 178.97 is: 246.92
Step by Step Solution
- Step 1: Write the proportion equation
296.99 : 409.76 = 178.97 : x - Step 2: Convert to fraction form
296.99/409.76 = 178.97/x - Step 3: Cross multiply
296.99x = 409.76 × 178.97 - Step 4: Simplify right side
296.99x = 73,331.80 - Step 5: Solve for x
x = 73,331.80/296.99 - Step 6: Final answer
x = 246.92
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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.