Finding the Fourth Proportional to 209.24, 313.91 and 79.24
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Solution
The fourth proportional to 209.24, 313.91 and 79.24 is: 118.88
Step by Step Solution
- Step 1: Write the proportion equation
209.24 : 313.91 = 79.24 : x - Step 2: Convert to fraction form
209.24/313.91 = 79.24/x - Step 3: Cross multiply
209.24x = 313.91 × 79.24 - Step 4: Simplify right side
209.24x = 24,874.23 - Step 5: Solve for x
x = 24,874.23/209.24 - Step 6: Final answer
x = 118.88
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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.