Finding the Fourth Proportional to 302.23, 417.04 and 177.93
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Solution
The fourth proportional to 302.23, 417.04 and 177.93 is: 245.52
Step by Step Solution
- Step 1: Write the proportion equation
302.23 : 417.04 = 177.93 : x - Step 2: Convert to fraction form
302.23/417.04 = 177.93/x - Step 3: Cross multiply
302.23x = 417.04 × 177.93 - Step 4: Simplify right side
302.23x = 74,201.84 - Step 5: Solve for x
x = 74,201.84/302.23 - Step 6: Final answer
x = 245.52
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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.