Finding the Fourth Proportional to 177.74, 245.05 and 163.83
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Solution
The fourth proportional to 177.74, 245.05 and 163.83 is: 225.88
Step by Step Solution
- Step 1: Write the proportion equation
177.74 : 245.05 = 163.83 : x - Step 2: Convert to fraction form
177.74/245.05 = 163.83/x - Step 3: Cross multiply
177.74x = 245.05 × 163.83 - Step 4: Simplify right side
177.74x = 40,146.13 - Step 5: Solve for x
x = 40,146.13/177.74 - Step 6: Final answer
x = 225.88
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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.