Finding the Fourth Proportional to 205.13, 282.99 and 122.20
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Solution
The fourth proportional to 205.13, 282.99 and 122.20 is: 168.58
Step by Step Solution
- Step 1: Write the proportion equation
205.13 : 282.99 = 122.20 : x - Step 2: Convert to fraction form
205.13/282.99 = 122.20/x - Step 3: Cross multiply
205.13x = 282.99 × 122.20 - Step 4: Simplify right side
205.13x = 34,579.96 - Step 5: Solve for x
x = 34,579.96/205.13 - Step 6: Final answer
x = 168.58
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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.