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Finding the Fourth Proportional to 424.12, 584.94 and 326.12

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Solution

The fourth proportional to 424.12, 584.94 and 326.12 is: 449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 584.94 = 326.12 : x
  2. Step 2: Convert to fraction form
    424.12/584.94 = 326.12/x
  3. Step 3: Cross multiply
    424.12x = 584.94 × 326.12
  4. Step 4: Simplify right side
    424.12x = 190,760.63
  5. Step 5: Solve for x
    x = 190,760.63/424.12
  6. Step 6: Final answer
    x = 449.78

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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.