Finding the Fourth Proportional to 135.24, 186.63 and 77.02
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Solution
The fourth proportional to 135.24, 186.63 and 77.02 is: 106.28
Step by Step Solution
- Step 1: Write the proportion equation
135.24 : 186.63 = 77.02 : x - Step 2: Convert to fraction form
135.24/186.63 = 77.02/x - Step 3: Cross multiply
135.24x = 186.63 × 77.02 - Step 4: Simplify right side
135.24x = 14,372.92 - Step 5: Solve for x
x = 14,372.92/135.24 - Step 6: Final answer
x = 106.28
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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.