Finding the Fourth Proportional to 253.14, 379.84 and 106.99
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Solution
The fourth proportional to 253.14, 379.84 and 106.99 is: 160.54
Step by Step Solution
- Step 1: Write the proportion equation
253.14 : 379.84 = 106.99 : x - Step 2: Convert to fraction form
253.14/379.84 = 106.99/x - Step 3: Cross multiply
253.14x = 379.84 × 106.99 - Step 4: Simplify right side
253.14x = 40,639.08 - Step 5: Solve for x
x = 40,639.08/253.14 - Step 6: Final answer
x = 160.54
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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.