Finding the Fourth Proportional to 178.13, 245.68 and 115.99
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Solution
The fourth proportional to 178.13, 245.68 and 115.99 is: 159.97
Step by Step Solution
- Step 1: Write the proportion equation
178.13 : 245.68 = 115.99 : x - Step 2: Convert to fraction form
178.13/245.68 = 115.99/x - Step 3: Cross multiply
178.13x = 245.68 × 115.99 - Step 4: Simplify right side
178.13x = 28,495.52 - Step 5: Solve for x
x = 28,495.52/178.13 - Step 6: Final answer
x = 159.97
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.