Finding the Fourth Proportional to 178.47, 267.84 and 117.99
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Solution
The fourth proportional to 178.47, 267.84 and 117.99 is: 177.07
Step by Step Solution
- Step 1: Write the proportion equation
178.47 : 267.84 = 117.99 : x - Step 2: Convert to fraction form
178.47/267.84 = 117.99/x - Step 3: Cross multiply
178.47x = 267.84 × 117.99 - Step 4: Simplify right side
178.47x = 31,602.44 - Step 5: Solve for x
x = 31,602.44/178.47 - Step 6: Final answer
x = 177.07
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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.