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Finding the Fourth Proportional to 382.02, 573.01 and 209.78

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Solution

The fourth proportional to 382.02, 573.01 and 209.78 is: 314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.02 : 573.01 = 209.78 : x
  2. Step 2: Convert to fraction form
    382.02/573.01 = 209.78/x
  3. Step 3: Cross multiply
    382.02x = 573.01 × 209.78
  4. Step 4: Simplify right side
    382.02x = 120,206.04
  5. Step 5: Solve for x
    x = 120,206.04/382.02
  6. Step 6: Final answer
    x = 314.66

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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.