Finding the Fourth Proportional to 205.99, 284.25 and 118.67
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Solution
The fourth proportional to 205.99, 284.25 and 118.67 is: 163.75
Step by Step Solution
- Step 1: Write the proportion equation
205.99 : 284.25 = 118.67 : x - Step 2: Convert to fraction form
205.99/284.25 = 118.67/x - Step 3: Cross multiply
205.99x = 284.25 × 118.67 - Step 4: Simplify right side
205.99x = 33,731.24 - Step 5: Solve for x
x = 33,731.24/205.99 - Step 6: Final answer
x = 163.75
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.