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Finding the Fourth Proportional to 381.64, 573.09 and 310.18

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Solution

The fourth proportional to 381.64, 573.09 and 310.18 is: 465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 573.09 = 310.18 : x
  2. Step 2: Convert to fraction form
    381.64/573.09 = 310.18/x
  3. Step 3: Cross multiply
    381.64x = 573.09 × 310.18
  4. Step 4: Simplify right side
    381.64x = 177,761.06
  5. Step 5: Solve for x
    x = 177,761.06/381.64
  6. Step 6: Final answer
    x = 465.78

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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.