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Finding the Fourth Proportional to 382.28, 527.54 and 251.37

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Solution

The fourth proportional to 382.28, 527.54 and 251.37 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 527.54 = 251.37 : x
  2. Step 2: Convert to fraction form
    382.28/527.54 = 251.37/x
  3. Step 3: Cross multiply
    382.28x = 527.54 × 251.37
  4. Step 4: Simplify right side
    382.28x = 132,606.47
  5. Step 5: Solve for x
    x = 132,606.47/382.28
  6. Step 6: Final answer
    x = 346.89

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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.