Finding the Fourth Proportional to 205.09, 282.99 and 135.12
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Solution
The fourth proportional to 205.09, 282.99 and 135.12 is: 186.45
Step by Step Solution
- Step 1: Write the proportion equation
205.09 : 282.99 = 135.12 : x - Step 2: Convert to fraction form
205.09/282.99 = 135.12/x - Step 3: Cross multiply
205.09x = 282.99 × 135.12 - Step 4: Simplify right side
205.09x = 38,239.18 - Step 5: Solve for x
x = 38,239.18/205.09 - Step 6: Final answer
x = 186.45
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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.