Finding the Fourth Proportional to 178.83, 267.74 and 135.36
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Solution
The fourth proportional to 178.83, 267.74 and 135.36 is: 202.66
Step by Step Solution
- Step 1: Write the proportion equation
178.83 : 267.74 = 135.36 : x - Step 2: Convert to fraction form
178.83/267.74 = 135.36/x - Step 3: Cross multiply
178.83x = 267.74 × 135.36 - Step 4: Simplify right side
178.83x = 36,241.29 - Step 5: Solve for x
x = 36,241.29/178.83 - Step 6: Final answer
x = 202.66
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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.