Finding the Fourth Proportional to 201.41, 278.07 and 135.80
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Solution
The fourth proportional to 201.41, 278.07 and 135.80 is: 187.49
Step by Step Solution
- Step 1: Write the proportion equation
201.41 : 278.07 = 135.80 : x - Step 2: Convert to fraction form
201.41/278.07 = 135.80/x - Step 3: Cross multiply
201.41x = 278.07 × 135.80 - Step 4: Simplify right side
201.41x = 37,761.91 - Step 5: Solve for x
x = 37,761.91/201.41 - Step 6: Final answer
x = 187.49
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.