Finding the Fourth Proportional to 178.74, 267.84 and 133.02
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Solution
The fourth proportional to 178.74, 267.84 and 133.02 is: 199.33
Step by Step Solution
- Step 1: Write the proportion equation
178.74 : 267.84 = 133.02 : x - Step 2: Convert to fraction form
178.74/267.84 = 133.02/x - Step 3: Cross multiply
178.74x = 267.84 × 133.02 - Step 4: Simplify right side
178.74x = 35,628.08 - Step 5: Solve for x
x = 35,628.08/178.74 - Step 6: Final answer
x = 199.33
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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.