Finding the Fourth Proportional to 75.84, 113.58 and 58.68
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Solution
The fourth proportional to 75.84, 113.58 and 58.68 is: 87.88
Step by Step Solution
- Step 1: Write the proportion equation
75.84 : 113.58 = 58.68 : x - Step 2: Convert to fraction form
75.84/113.58 = 58.68/x - Step 3: Cross multiply
75.84x = 113.58 × 58.68 - Step 4: Simplify right side
75.84x = 6,664.87 - Step 5: Solve for x
x = 6,664.87/75.84 - Step 6: Final answer
x = 87.88
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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.