Finding the Fourth Proportional to 209.28, 313.93 and 64.99
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Solution
The fourth proportional to 209.28, 313.93 and 64.99 is: 97.49
Step by Step Solution
- Step 1: Write the proportion equation
209.28 : 313.93 = 64.99 : x - Step 2: Convert to fraction form
209.28/313.93 = 64.99/x - Step 3: Cross multiply
209.28x = 313.93 × 64.99 - Step 4: Simplify right side
209.28x = 20,401.99 - Step 5: Solve for x
x = 20,401.99/209.28 - Step 6: Final answer
x = 97.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.