Finding the Fourth Proportional to 105.64, 158.49 and 65.09
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Solution
The fourth proportional to 105.64, 158.49 and 65.09 is: 97.65
Step by Step Solution
- Step 1: Write the proportion equation
105.64 : 158.49 = 65.09 : x - Step 2: Convert to fraction form
105.64/158.49 = 65.09/x - Step 3: Cross multiply
105.64x = 158.49 × 65.09 - Step 4: Simplify right side
105.64x = 10,315.62 - Step 5: Solve for x
x = 10,315.62/105.64 - Step 6: Final answer
x = 97.65
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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.