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Finding the Fourth Proportional to 382.10, 527.40 and 234.79

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Solution

The fourth proportional to 382.10, 527.40 and 234.79 is: 324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 527.40 = 234.79 : x
  2. Step 2: Convert to fraction form
    382.10/527.40 = 234.79/x
  3. Step 3: Cross multiply
    382.10x = 527.40 × 234.79
  4. Step 4: Simplify right side
    382.10x = 123,828.25
  5. Step 5: Solve for x
    x = 123,828.25/382.10
  6. Step 6: Final answer
    x = 324.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.