Finding the Fourth Proportional to 135.84, 204.05 and 81.76
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Solution
The fourth proportional to 135.84, 204.05 and 81.76 is: 122.81
Step by Step Solution
- Step 1: Write the proportion equation
135.84 : 204.05 = 81.76 : x - Step 2: Convert to fraction form
135.84/204.05 = 81.76/x - Step 3: Cross multiply
135.84x = 204.05 × 81.76 - Step 4: Simplify right side
135.84x = 16,683.13 - Step 5: Solve for x
x = 16,683.13/135.84 - Step 6: Final answer
x = 122.81
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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.