Finding the Fourth Proportional to 152.42, 227.83 and 132.09
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Solution
The fourth proportional to 152.42, 227.83 and 132.09 is: 197.44
Step by Step Solution
- Step 1: Write the proportion equation
152.42 : 227.83 = 132.09 : x - Step 2: Convert to fraction form
152.42/227.83 = 132.09/x - Step 3: Cross multiply
152.42x = 227.83 × 132.09 - Step 4: Simplify right side
152.42x = 30,094.06 - Step 5: Solve for x
x = 30,094.06/152.42 - Step 6: Final answer
x = 197.44
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.