Finding the Fourth Proportional to 137.24, 205.69 and 56.04
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Solution
The fourth proportional to 137.24, 205.69 and 56.04 is: 83.99
Step by Step Solution
- Step 1: Write the proportion equation
137.24 : 205.69 = 56.04 : x - Step 2: Convert to fraction form
137.24/205.69 = 56.04/x - Step 3: Cross multiply
137.24x = 205.69 × 56.04 - Step 4: Simplify right side
137.24x = 11,527.22 - Step 5: Solve for x
x = 11,527.22/137.24 - Step 6: Final answer
x = 83.99
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.