Finding the Fourth Proportional to 302.24, 417.09 and 177.90
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Solution
The fourth proportional to 302.24, 417.09 and 177.90 is: 245.50
Step by Step Solution
- Step 1: Write the proportion equation
302.24 : 417.09 = 177.90 : x - Step 2: Convert to fraction form
302.24/417.09 = 177.90/x - Step 3: Cross multiply
302.24x = 417.09 × 177.90 - Step 4: Simplify right side
302.24x = 74,199.42 - Step 5: Solve for x
x = 74,199.42/302.24 - Step 6: Final answer
x = 245.50
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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.