Finding the Fourth Proportional to 205.23, 282.99 and 181.95
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Solution
The fourth proportional to 205.23, 282.99 and 181.95 is: 250.89
Step by Step Solution
- Step 1: Write the proportion equation
205.23 : 282.99 = 181.95 : x - Step 2: Convert to fraction form
205.23/282.99 = 181.95/x - Step 3: Cross multiply
205.23x = 282.99 × 181.95 - Step 4: Simplify right side
205.23x = 51,490.03 - Step 5: Solve for x
x = 51,490.03/205.23 - Step 6: Final answer
x = 250.89
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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.