Finding the Fourth Proportional to 105.08, 157.40 and 98.70
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Solution
The fourth proportional to 105.08, 157.40 and 98.70 is: 147.84
Step by Step Solution
- Step 1: Write the proportion equation
105.08 : 157.40 = 98.70 : x - Step 2: Convert to fraction form
105.08/157.40 = 98.70/x - Step 3: Cross multiply
105.08x = 157.40 × 98.70 - Step 4: Simplify right side
105.08x = 15,535.38 - Step 5: Solve for x
x = 15,535.38/105.08 - Step 6: Final answer
x = 147.84
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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.