Finding the Fourth Proportional to 135.42, 186.84 and 77.19
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Solution
The fourth proportional to 135.42, 186.84 and 77.19 is: 106.50
Step by Step Solution
- Step 1: Write the proportion equation
135.42 : 186.84 = 77.19 : x - Step 2: Convert to fraction form
135.42/186.84 = 77.19/x - Step 3: Cross multiply
135.42x = 186.84 × 77.19 - Step 4: Simplify right side
135.42x = 14,422.18 - Step 5: Solve for x
x = 14,422.18/135.42 - Step 6: Final answer
x = 106.50
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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.