Finding the Fourth Proportional to 409.24, 613.97 and 189.68
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Solution
The fourth proportional to 409.24, 613.97 and 189.68 is: 284.57
Step by Step Solution
- Step 1: Write the proportion equation
409.24 : 613.97 = 189.68 : x - Step 2: Convert to fraction form
409.24/613.97 = 189.68/x - Step 3: Cross multiply
409.24x = 613.97 × 189.68 - Step 4: Simplify right side
409.24x = 116,456.88 - Step 5: Solve for x
x = 116,456.88/409.24 - Step 6: Final answer
x = 284.57
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.