Finding the Fourth Proportional to 178.08, 267.36 and 146.08
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Solution
The fourth proportional to 178.08, 267.36 and 146.08 is: 219.32
Step by Step Solution
- Step 1: Write the proportion equation
178.08 : 267.36 = 146.08 : x - Step 2: Convert to fraction form
178.08/267.36 = 146.08/x - Step 3: Cross multiply
178.08x = 267.36 × 146.08 - Step 4: Simplify right side
178.08x = 39,055.95 - Step 5: Solve for x
x = 39,055.95/178.08 - Step 6: Final answer
x = 219.32
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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.