Finding the Fourth Proportional to 371.63, 512.84 and 205.84
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Solution
The fourth proportional to 371.63, 512.84 and 205.84 is: 284.05
Step by Step Solution
- Step 1: Write the proportion equation
371.63 : 512.84 = 205.84 : x - Step 2: Convert to fraction form
371.63/512.84 = 205.84/x - Step 3: Cross multiply
371.63x = 512.84 × 205.84 - Step 4: Simplify right side
371.63x = 105,562.99 - Step 5: Solve for x
x = 105,562.99/371.63 - Step 6: Final answer
x = 284.05
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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.