Finding the Fourth Proportional to 114.08, 157.14 and 84.92
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Solution
The fourth proportional to 114.08, 157.14 and 84.92 is: 116.97
Step by Step Solution
- Step 1: Write the proportion equation
114.08 : 157.14 = 84.92 : x - Step 2: Convert to fraction form
114.08/157.14 = 84.92/x - Step 3: Cross multiply
114.08x = 157.14 × 84.92 - Step 4: Simplify right side
114.08x = 13,343.54 - Step 5: Solve for x
x = 13,343.54/114.08 - Step 6: Final answer
x = 116.97
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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.