Finding the Fourth Proportional to 105.68, 157.58 and 97.99
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Solution
The fourth proportional to 105.68, 157.58 and 97.99 is: 146.11
Step by Step Solution
- Step 1: Write the proportion equation
105.68 : 157.58 = 97.99 : x - Step 2: Convert to fraction form
105.68/157.58 = 97.99/x - Step 3: Cross multiply
105.68x = 157.58 × 97.99 - Step 4: Simplify right side
105.68x = 15,441.26 - Step 5: Solve for x
x = 15,441.26/105.68 - Step 6: Final answer
x = 146.11
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.