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Finding the Fourth Proportional to 382.78, 573.38 and 291.21

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Solution

The fourth proportional to 382.78, 573.38 and 291.21 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.78 : 573.38 = 291.21 : x
  2. Step 2: Convert to fraction form
    382.78/573.38 = 291.21/x
  3. Step 3: Cross multiply
    382.78x = 573.38 × 291.21
  4. Step 4: Simplify right side
    382.78x = 166,969.67
  5. Step 5: Solve for x
    x = 166,969.67/382.78
  6. Step 6: Final answer
    x = 436.20

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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.