Finding the Fourth Proportional to 205.06, 282.99 and 117.74
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Solution
The fourth proportional to 205.06, 282.99 and 117.74 is: 162.49
Step by Step Solution
- Step 1: Write the proportion equation
205.06 : 282.99 = 117.74 : x - Step 2: Convert to fraction form
205.06/282.99 = 117.74/x - Step 3: Cross multiply
205.06x = 282.99 × 117.74 - Step 4: Simplify right side
205.06x = 33,319.24 - Step 5: Solve for x
x = 33,319.24/205.06 - Step 6: Final answer
x = 162.49
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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.