Finding the Fourth Proportional to 114.23, 157.42 and 83.09
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Solution
The fourth proportional to 114.23, 157.42 and 83.09 is: 114.51
Step by Step Solution
- Step 1: Write the proportion equation
114.23 : 157.42 = 83.09 : x - Step 2: Convert to fraction form
114.23/157.42 = 83.09/x - Step 3: Cross multiply
114.23x = 157.42 × 83.09 - Step 4: Simplify right side
114.23x = 13,080.03 - Step 5: Solve for x
x = 13,080.03/114.23 - Step 6: Final answer
x = 114.51
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.