Finding the Fourth Proportional to 178.34, 267.74 and 97.23
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Solution
The fourth proportional to 178.34, 267.74 and 97.23 is: 145.98
Step by Step Solution
- Step 1: Write the proportion equation
178.34 : 267.74 = 97.23 : x - Step 2: Convert to fraction form
178.34/267.74 = 97.23/x - Step 3: Cross multiply
178.34x = 267.74 × 97.23 - Step 4: Simplify right side
178.34x = 26,033.24 - Step 5: Solve for x
x = 26,033.24/178.34 - Step 6: Final answer
x = 145.98
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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.