Finding the Fourth Proportional to 304.75, 420.69 and 199.99
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Solution
The fourth proportional to 304.75, 420.69 and 199.99 is: 276.07
Step by Step Solution
- Step 1: Write the proportion equation
304.75 : 420.69 = 199.99 : x - Step 2: Convert to fraction form
304.75/420.69 = 199.99/x - Step 3: Cross multiply
304.75x = 420.69 × 199.99 - Step 4: Simplify right side
304.75x = 84,133.79 - Step 5: Solve for x
x = 84,133.79/304.75 - Step 6: Final answer
x = 276.07
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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.