Finding the Fourth Proportional to 205.08, 282.44 and 170.26
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Solution
The fourth proportional to 205.08, 282.44 and 170.26 is: 234.49
Step by Step Solution
- Step 1: Write the proportion equation
205.08 : 282.44 = 170.26 : x - Step 2: Convert to fraction form
205.08/282.44 = 170.26/x - Step 3: Cross multiply
205.08x = 282.44 × 170.26 - Step 4: Simplify right side
205.08x = 48,088.23 - Step 5: Solve for x
x = 48,088.23/205.08 - Step 6: Final answer
x = 234.49
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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.