Finding the Fourth Proportional to 165.11, 227.86 and 106.99
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Solution
The fourth proportional to 165.11, 227.86 and 106.99 is: 147.65
Step by Step Solution
- Step 1: Write the proportion equation
165.11 : 227.86 = 106.99 : x - Step 2: Convert to fraction form
165.11/227.86 = 106.99/x - Step 3: Cross multiply
165.11x = 227.86 × 106.99 - Step 4: Simplify right side
165.11x = 24,378.21 - Step 5: Solve for x
x = 24,378.21/165.11 - Step 6: Final answer
x = 147.65
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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.