Finding the Fourth Proportional to 297.06, 409.84 and 273.77
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Solution
The fourth proportional to 297.06, 409.84 and 273.77 is: 377.71
Step by Step Solution
- Step 1: Write the proportion equation
297.06 : 409.84 = 273.77 : x - Step 2: Convert to fraction form
297.06/409.84 = 273.77/x - Step 3: Cross multiply
297.06x = 409.84 × 273.77 - Step 4: Simplify right side
297.06x = 112,202.24 - Step 5: Solve for x
x = 112,202.24/297.06 - Step 6: Final answer
x = 377.71
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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.