Finding the Fourth Proportional to 309.18, 463.64 and 135.75
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Solution
The fourth proportional to 309.18, 463.64 and 135.75 is: 203.57
Step by Step Solution
- Step 1: Write the proportion equation
309.18 : 463.64 = 135.75 : x - Step 2: Convert to fraction form
309.18/463.64 = 135.75/x - Step 3: Cross multiply
309.18x = 463.64 × 135.75 - Step 4: Simplify right side
309.18x = 62,940.22 - Step 5: Solve for x
x = 62,940.22/309.18 - Step 6: Final answer
x = 203.57
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.