Finding the Fourth Proportional to 78.06, 107.75 and 46.96
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Solution
The fourth proportional to 78.06, 107.75 and 46.96 is: 64.82
Step by Step Solution
- Step 1: Write the proportion equation
78.06 : 107.75 = 46.96 : x - Step 2: Convert to fraction form
78.06/107.75 = 46.96/x - Step 3: Cross multiply
78.06x = 107.75 × 46.96 - Step 4: Simplify right side
78.06x = 5,060.13 - Step 5: Solve for x
x = 5,060.13/78.06 - Step 6: Final answer
x = 64.82
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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.