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Finding the Fourth Proportional to 382.26, 572.68 and 235.79

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Solution

The fourth proportional to 382.26, 572.68 and 235.79 is: 353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.26 : 572.68 = 235.79 : x
  2. Step 2: Convert to fraction form
    382.26/572.68 = 235.79/x
  3. Step 3: Cross multiply
    382.26x = 572.68 × 235.79
  4. Step 4: Simplify right side
    382.26x = 135,029.40
  5. Step 5: Solve for x
    x = 135,029.40/382.26
  6. Step 6: Final answer
    x = 353.24

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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.