Finding the Fourth Proportional to 157.54, 236.14 and 102.63
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Solution
The fourth proportional to 157.54, 236.14 and 102.63 is: 153.83
Step by Step Solution
- Step 1: Write the proportion equation
157.54 : 236.14 = 102.63 : x - Step 2: Convert to fraction form
157.54/236.14 = 102.63/x - Step 3: Cross multiply
157.54x = 236.14 × 102.63 - Step 4: Simplify right side
157.54x = 24,235.05 - Step 5: Solve for x
x = 24,235.05/157.54 - Step 6: Final answer
x = 153.83
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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.