Finding the Fourth Proportional to 297.10, 409.99 and 199.09
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Solution
The fourth proportional to 297.10, 409.99 and 199.09 is: 274.74
Step by Step Solution
- Step 1: Write the proportion equation
297.10 : 409.99 = 199.09 : x - Step 2: Convert to fraction form
297.10/409.99 = 199.09/x - Step 3: Cross multiply
297.10x = 409.99 × 199.09 - Step 4: Simplify right side
297.10x = 81,622.86 - Step 5: Solve for x
x = 81,622.86/297.10 - Step 6: Final answer
x = 274.74
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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.