Finding the Fourth Proportional to 109.82, 151.43 and 72.99
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Solution
The fourth proportional to 109.82, 151.43 and 72.99 is: 100.65
Step by Step Solution
- Step 1: Write the proportion equation
109.82 : 151.43 = 72.99 : x - Step 2: Convert to fraction form
109.82/151.43 = 72.99/x - Step 3: Cross multiply
109.82x = 151.43 × 72.99 - Step 4: Simplify right side
109.82x = 11,052.88 - Step 5: Solve for x
x = 11,052.88/109.82 - Step 6: Final answer
x = 100.65
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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.