Finding the Fourth Proportional to 311.24, 466.97 and 208.64
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Solution
The fourth proportional to 311.24, 466.97 and 208.64 is: 313.03
Step by Step Solution
- Step 1: Write the proportion equation
311.24 : 466.97 = 208.64 : x - Step 2: Convert to fraction form
311.24/466.97 = 208.64/x - Step 3: Cross multiply
311.24x = 466.97 × 208.64 - Step 4: Simplify right side
311.24x = 97,428.75 - Step 5: Solve for x
x = 97,428.75/311.24 - Step 6: Final answer
x = 313.03
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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.