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Finding the Fourth Proportional to 252.28, 376.61 and 229.60

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Solution

The fourth proportional to 252.28, 376.61 and 229.60 is: 342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.28 : 376.61 = 229.60 : x
  2. Step 2: Convert to fraction form
    252.28/376.61 = 229.60/x
  3. Step 3: Cross multiply
    252.28x = 376.61 × 229.60
  4. Step 4: Simplify right side
    252.28x = 86,469.66
  5. Step 5: Solve for x
    x = 86,469.66/252.28
  6. Step 6: Final answer
    x = 342.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.