Finding the Fourth Proportional to 178.68, 267.84 and 70.40
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Solution
The fourth proportional to 178.68, 267.84 and 70.40 is: 105.53
Step by Step Solution
- Step 1: Write the proportion equation
178.68 : 267.84 = 70.40 : x - Step 2: Convert to fraction form
178.68/267.84 = 70.40/x - Step 3: Cross multiply
178.68x = 267.84 × 70.40 - Step 4: Simplify right side
178.68x = 18,855.94 - Step 5: Solve for x
x = 18,855.94/178.68 - Step 6: Final answer
x = 105.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.