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Finding the Fourth Proportional to 382.80, 529.65 and 333.78

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Solution

The fourth proportional to 382.80, 529.65 and 333.78 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.80 : 529.65 = 333.78 : x
  2. Step 2: Convert to fraction form
    382.80/529.65 = 333.78/x
  3. Step 3: Cross multiply
    382.80x = 529.65 × 333.78
  4. Step 4: Simplify right side
    382.80x = 176,786.58
  5. Step 5: Solve for x
    x = 176,786.58/382.80
  6. Step 6: Final answer
    x = 461.82

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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.