Finding the Fourth Proportional to 355.14, 490.12 and 199.90
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Solution
The fourth proportional to 355.14, 490.12 and 199.90 is: 275.88
Step by Step Solution
- Step 1: Write the proportion equation
355.14 : 490.12 = 199.90 : x - Step 2: Convert to fraction form
355.14/490.12 = 199.90/x - Step 3: Cross multiply
355.14x = 490.12 × 199.90 - Step 4: Simplify right side
355.14x = 97,974.99 - Step 5: Solve for x
x = 97,974.99/355.14 - Step 6: Final answer
x = 275.88
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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.