Finding the Fourth Proportional to 242.19, 362.84 and 104.99
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Solution
The fourth proportional to 242.19, 362.84 and 104.99 is: 157.28
Step by Step Solution
- Step 1: Write the proportion equation
242.19 : 362.84 = 104.99 : x - Step 2: Convert to fraction form
242.19/362.84 = 104.99/x - Step 3: Cross multiply
242.19x = 362.84 × 104.99 - Step 4: Simplify right side
242.19x = 38,092.23 - Step 5: Solve for x
x = 38,092.23/242.19 - Step 6: Final answer
x = 157.28
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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.