Finding the Fourth Proportional to 178.68, 268.11 and 130.98
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Solution
The fourth proportional to 178.68, 268.11 and 130.98 is: 196.54
Step by Step Solution
- Step 1: Write the proportion equation
178.68 : 268.11 = 130.98 : x - Step 2: Convert to fraction form
178.68/268.11 = 130.98/x - Step 3: Cross multiply
178.68x = 268.11 × 130.98 - Step 4: Simplify right side
178.68x = 35,117.05 - Step 5: Solve for x
x = 35,117.05/178.68 - Step 6: Final answer
x = 196.54
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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.