Finding the Fourth Proportional to 242.02, 362.76 and 113.50
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Solution
The fourth proportional to 242.02, 362.76 and 113.50 is: 170.12
Step by Step Solution
- Step 1: Write the proportion equation
242.02 : 362.76 = 113.50 : x - Step 2: Convert to fraction form
242.02/362.76 = 113.50/x - Step 3: Cross multiply
242.02x = 362.76 × 113.50 - Step 4: Simplify right side
242.02x = 41,173.26 - Step 5: Solve for x
x = 41,173.26/242.02 - Step 6: Final answer
x = 170.12
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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.