Finding the Fourth Proportional to 75.98, 104.82 and 46.82
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Solution
The fourth proportional to 75.98, 104.82 and 46.82 is: 64.59
Step by Step Solution
- Step 1: Write the proportion equation
75.98 : 104.82 = 46.82 : x - Step 2: Convert to fraction form
75.98/104.82 = 46.82/x - Step 3: Cross multiply
75.98x = 104.82 × 46.82 - Step 4: Simplify right side
75.98x = 4,907.67 - Step 5: Solve for x
x = 4,907.67/75.98 - Step 6: Final answer
x = 64.59
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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.