Finding the Fourth Proportional to 199.24, 298.65 and 178.99
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Solution
The fourth proportional to 199.24, 298.65 and 178.99 is: 268.30
Step by Step Solution
- Step 1: Write the proportion equation
199.24 : 298.65 = 178.99 : x - Step 2: Convert to fraction form
199.24/298.65 = 178.99/x - Step 3: Cross multiply
199.24x = 298.65 × 178.99 - Step 4: Simplify right side
199.24x = 53,455.36 - Step 5: Solve for x
x = 53,455.36/199.24 - Step 6: Final answer
x = 268.30
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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.