Finding the Fourth Proportional to 178.82, 267.70 and 135.66
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Solution
The fourth proportional to 178.82, 267.70 and 135.66 is: 203.09
Step by Step Solution
- Step 1: Write the proportion equation
178.82 : 267.70 = 135.66 : x - Step 2: Convert to fraction form
178.82/267.70 = 135.66/x - Step 3: Cross multiply
178.82x = 267.70 × 135.66 - Step 4: Simplify right side
178.82x = 36,316.18 - Step 5: Solve for x
x = 36,316.18/178.82 - Step 6: Final answer
x = 203.09
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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.