Finding the Fourth Proportional to 284.26, 392.21 and 205.69
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Solution
The fourth proportional to 284.26, 392.21 and 205.69 is: 283.80
Step by Step Solution
- Step 1: Write the proportion equation
284.26 : 392.21 = 205.69 : x - Step 2: Convert to fraction form
284.26/392.21 = 205.69/x - Step 3: Cross multiply
284.26x = 392.21 × 205.69 - Step 4: Simplify right side
284.26x = 80,673.67 - Step 5: Solve for x
x = 80,673.67/284.26 - Step 6: Final answer
x = 283.80
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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.