Finding the Fourth Proportional to 114.42, 157.78 and 77.59
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Solution
The fourth proportional to 114.42, 157.78 and 77.59 is: 106.99
Step by Step Solution
- Step 1: Write the proportion equation
114.42 : 157.78 = 77.59 : x - Step 2: Convert to fraction form
114.42/157.78 = 77.59/x - Step 3: Cross multiply
114.42x = 157.78 × 77.59 - Step 4: Simplify right side
114.42x = 12,242.15 - Step 5: Solve for x
x = 12,242.15/114.42 - Step 6: Final answer
x = 106.99
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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.