Finding the Fourth Proportional to 105.05, 157.58 and 35.63
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Solution
The fourth proportional to 105.05, 157.58 and 35.63 is: 53.45
Step by Step Solution
- Step 1: Write the proportion equation
105.05 : 157.58 = 35.63 : x - Step 2: Convert to fraction form
105.05/157.58 = 35.63/x - Step 3: Cross multiply
105.05x = 157.58 × 35.63 - Step 4: Simplify right side
105.05x = 5,614.79 - Step 5: Solve for x
x = 5,614.79/105.05 - Step 6: Final answer
x = 53.45
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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.