Finding the Fourth Proportional to 409.19, 563.67 and 284.63
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Solution
The fourth proportional to 409.19, 563.67 and 284.63 is: 392.08
Step by Step Solution
- Step 1: Write the proportion equation
409.19 : 563.67 = 284.63 : x - Step 2: Convert to fraction form
409.19/563.67 = 284.63/x - Step 3: Cross multiply
409.19x = 563.67 × 284.63 - Step 4: Simplify right side
409.19x = 160,434.57 - Step 5: Solve for x
x = 160,434.57/409.19 - Step 6: Final answer
x = 392.08
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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.