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Finding the Fourth Proportional to 252.46, 378.32 and 216.02

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Solution

The fourth proportional to 252.46, 378.32 and 216.02 is: 323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.46 : 378.32 = 216.02 : x
  2. Step 2: Convert to fraction form
    252.46/378.32 = 216.02/x
  3. Step 3: Cross multiply
    252.46x = 378.32 × 216.02
  4. Step 4: Simplify right side
    252.46x = 81,724.69
  5. Step 5: Solve for x
    x = 81,724.69/252.46
  6. Step 6: Final answer
    x = 323.71

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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.