Finding the Fourth Proportional to 205.07, 282.99 and 121.09
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Solution
The fourth proportional to 205.07, 282.99 and 121.09 is: 167.10
Step by Step Solution
- Step 1: Write the proportion equation
205.07 : 282.99 = 121.09 : x - Step 2: Convert to fraction form
205.07/282.99 = 121.09/x - Step 3: Cross multiply
205.07x = 282.99 × 121.09 - Step 4: Simplify right side
205.07x = 34,267.26 - Step 5: Solve for x
x = 34,267.26/205.07 - Step 6: Final answer
x = 167.10
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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.