Finding the Fourth Proportional to 178.87, 268.36 and 97.67
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Solution
The fourth proportional to 178.87, 268.36 and 97.67 is: 146.53
Step by Step Solution
- Step 1: Write the proportion equation
178.87 : 268.36 = 97.67 : x - Step 2: Convert to fraction form
178.87/268.36 = 97.67/x - Step 3: Cross multiply
178.87x = 268.36 × 97.67 - Step 4: Simplify right side
178.87x = 26,209.38 - Step 5: Solve for x
x = 26,209.38/178.87 - Step 6: Final answer
x = 146.53
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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.