Finding the Fourth Proportional to 105.78, 158.44 and 59.99
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Solution
The fourth proportional to 105.78, 158.44 and 59.99 is: 89.86
Step by Step Solution
- Step 1: Write the proportion equation
105.78 : 158.44 = 59.99 : x - Step 2: Convert to fraction form
105.78/158.44 = 59.99/x - Step 3: Cross multiply
105.78x = 158.44 × 59.99 - Step 4: Simplify right side
105.78x = 9,505.13 - Step 5: Solve for x
x = 9,505.13/105.78 - Step 6: Final answer
x = 89.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.