Finding the Fourth Proportional to 104.63, 157.07 and 91.80
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Solution
The fourth proportional to 104.63, 157.07 and 91.80 is: 137.82
Step by Step Solution
- Step 1: Write the proportion equation
104.63 : 157.07 = 91.80 : x - Step 2: Convert to fraction form
104.63/157.07 = 91.80/x - Step 3: Cross multiply
104.63x = 157.07 × 91.80 - Step 4: Simplify right side
104.63x = 14,419.26 - Step 5: Solve for x
x = 14,419.26/104.63 - Step 6: Final answer
x = 137.82
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.