Finding the Fourth Proportional to 205.40, 307.58 and 113.99
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Solution
The fourth proportional to 205.40, 307.58 and 113.99 is: 170.68
Step by Step Solution
- Step 1: Write the proportion equation
205.40 : 307.58 = 113.99 : x - Step 2: Convert to fraction form
205.40/307.58 = 113.99/x - Step 3: Cross multiply
205.40x = 307.58 × 113.99 - Step 4: Simplify right side
205.40x = 35,058.94 - Step 5: Solve for x
x = 35,058.94/205.40 - Step 6: Final answer
x = 170.68
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.