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Finding the Fourth Proportional to 382.28, 572.58 and 217.37

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Solution

The fourth proportional to 382.28, 572.58 and 217.37 is: 325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 572.58 = 217.37 : x
  2. Step 2: Convert to fraction form
    382.28/572.58 = 217.37/x
  3. Step 3: Cross multiply
    382.28x = 572.58 × 217.37
  4. Step 4: Simplify right side
    382.28x = 124,463.15
  5. Step 5: Solve for x
    x = 124,463.15/382.28
  6. Step 6: Final answer
    x = 325.58

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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.