Finding the Fourth Proportional to 201.74, 278.24 and 131.76
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Solution
The fourth proportional to 201.74, 278.24 and 131.76 is: 181.72
Step by Step Solution
- Step 1: Write the proportion equation
201.74 : 278.24 = 131.76 : x - Step 2: Convert to fraction form
201.74/278.24 = 131.76/x - Step 3: Cross multiply
201.74x = 278.24 × 131.76 - Step 4: Simplify right side
201.74x = 36,660.24 - Step 5: Solve for x
x = 36,660.24/201.74 - Step 6: Final answer
x = 181.72
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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.