Finding the Fourth Proportional to 76.67, 105.80 and 43.47
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Solution
The fourth proportional to 76.67, 105.80 and 43.47 is: 59.99
Step by Step Solution
- Step 1: Write the proportion equation
76.67 : 105.80 = 43.47 : x - Step 2: Convert to fraction form
76.67/105.80 = 43.47/x - Step 3: Cross multiply
76.67x = 105.80 × 43.47 - Step 4: Simplify right side
76.67x = 4,599.13 - Step 5: Solve for x
x = 4,599.13/76.67 - Step 6: Final answer
x = 59.99
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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.