Finding the Fourth Proportional to 99.41, 135.98 and 97.82
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Solution
The fourth proportional to 99.41, 135.98 and 97.82 is: 133.79
Step by Step Solution
- Step 1: Write the proportion equation
99.41 : 135.98 = 97.82 : x - Step 2: Convert to fraction form
99.41/135.98 = 97.82/x - Step 3: Cross multiply
99.41x = 135.98 × 97.82 - Step 4: Simplify right side
99.41x = 13,300.39 - Step 5: Solve for x
x = 13,300.39/99.41 - Step 6: Final answer
x = 133.79
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.