Finding the Fourth Proportional to 302.13, 416.93 and 177.79
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Solution
The fourth proportional to 302.13, 416.93 and 177.79 is: 245.34
Step by Step Solution
- Step 1: Write the proportion equation
302.13 : 416.93 = 177.79 : x - Step 2: Convert to fraction form
302.13/416.93 = 177.79/x - Step 3: Cross multiply
302.13x = 416.93 × 177.79 - Step 4: Simplify right side
302.13x = 74,124.05 - Step 5: Solve for x
x = 74,124.05/302.13 - Step 6: Final answer
x = 245.34
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.