Finding the Fourth Proportional to 309.93, 427.74 and 178.95
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Solution
The fourth proportional to 309.93, 427.74 and 178.95 is: 246.97
Step by Step Solution
- Step 1: Write the proportion equation
309.93 : 427.74 = 178.95 : x - Step 2: Convert to fraction form
309.93/427.74 = 178.95/x - Step 3: Cross multiply
309.93x = 427.74 × 178.95 - Step 4: Simplify right side
309.93x = 76,544.07 - Step 5: Solve for x
x = 76,544.07/309.93 - Step 6: Final answer
x = 246.97
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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.