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Finding the Fourth Proportional to 382.32, 574.29 and 236.43

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Solution

The fourth proportional to 382.32, 574.29 and 236.43 is: 355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.32 : 574.29 = 236.43 : x
  2. Step 2: Convert to fraction form
    382.32/574.29 = 236.43/x
  3. Step 3: Cross multiply
    382.32x = 574.29 × 236.43
  4. Step 4: Simplify right side
    382.32x = 135,779.38
  5. Step 5: Solve for x
    x = 135,779.38/382.32
  6. Step 6: Final answer
    x = 355.15

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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.