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Finding the Fourth Proportional to 382.23, 527.45 and 232.83

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Solution

The fourth proportional to 382.23, 527.45 and 232.83 is: 321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.23 : 527.45 = 232.83 : x
  2. Step 2: Convert to fraction form
    382.23/527.45 = 232.83/x
  3. Step 3: Cross multiply
    382.23x = 527.45 × 232.83
  4. Step 4: Simplify right side
    382.23x = 122,805.02
  5. Step 5: Solve for x
    x = 122,805.02/382.23
  6. Step 6: Final answer
    x = 321.29

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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.