Finding the Fourth Proportional to 205.13, 283.22 and 157.79
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Solution
The fourth proportional to 205.13, 283.22 and 157.79 is: 217.85
Step by Step Solution
- Step 1: Write the proportion equation
205.13 : 283.22 = 157.79 : x - Step 2: Convert to fraction form
205.13/283.22 = 157.79/x - Step 3: Cross multiply
205.13x = 283.22 × 157.79 - Step 4: Simplify right side
205.13x = 44,688.26 - Step 5: Solve for x
x = 44,688.26/205.13 - Step 6: Final answer
x = 217.85
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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.