Finding the Fourth Proportional to 178.94, 267.84 and 106.58
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Solution
The fourth proportional to 178.94, 267.84 and 106.58 is: 159.53
Step by Step Solution
- Step 1: Write the proportion equation
178.94 : 267.84 = 106.58 : x - Step 2: Convert to fraction form
178.94/267.84 = 106.58/x - Step 3: Cross multiply
178.94x = 267.84 × 106.58 - Step 4: Simplify right side
178.94x = 28,545.05 - Step 5: Solve for x
x = 28,545.05/178.94 - Step 6: Final answer
x = 159.53
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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.