Finding the Fourth Proportional to 302.60, 417.93 and 204.19
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Solution
The fourth proportional to 302.60, 417.93 and 204.19 is: 282.01
Step by Step Solution
- Step 1: Write the proportion equation
302.60 : 417.93 = 204.19 : x - Step 2: Convert to fraction form
302.60/417.93 = 204.19/x - Step 3: Cross multiply
302.60x = 417.93 × 204.19 - Step 4: Simplify right side
302.60x = 85,337.13 - Step 5: Solve for x
x = 85,337.13/302.60 - Step 6: Final answer
x = 282.01
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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.