Finding the Fourth Proportional to 283.95, 392.09 and 205.29
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Solution
The fourth proportional to 283.95, 392.09 and 205.29 is: 283.47
Step by Step Solution
- Step 1: Write the proportion equation
283.95 : 392.09 = 205.29 : x - Step 2: Convert to fraction form
283.95/392.09 = 205.29/x - Step 3: Cross multiply
283.95x = 392.09 × 205.29 - Step 4: Simplify right side
283.95x = 80,491.13 - Step 5: Solve for x
x = 80,491.13/283.95 - Step 6: Final answer
x = 283.47
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.