Finding the Fourth Proportional to 276.36, 413.84 and 178.70
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Solution
The fourth proportional to 276.36, 413.84 and 178.70 is: 267.60
Step by Step Solution
- Step 1: Write the proportion equation
276.36 : 413.84 = 178.70 : x - Step 2: Convert to fraction form
276.36/413.84 = 178.70/x - Step 3: Cross multiply
276.36x = 413.84 × 178.70 - Step 4: Simplify right side
276.36x = 73,953.21 - Step 5: Solve for x
x = 73,953.21/276.36 - Step 6: Final answer
x = 267.60
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.