Finding the Fourth Proportional to 199.84, 276.08 and 177.92
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Solution
The fourth proportional to 199.84, 276.08 and 177.92 is: 245.80
Step by Step Solution
- Step 1: Write the proportion equation
199.84 : 276.08 = 177.92 : x - Step 2: Convert to fraction form
199.84/276.08 = 177.92/x - Step 3: Cross multiply
199.84x = 276.08 × 177.92 - Step 4: Simplify right side
199.84x = 49,120.15 - Step 5: Solve for x
x = 49,120.15/199.84 - Step 6: Final answer
x = 245.80
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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.