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Finding the Fourth Proportional to 252.60, 376.80 and 249

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Solution

The fourth proportional to 252.60, 376.80 and 249 is: 371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.60 : 376.80 = 249 : x
  2. Step 2: Convert to fraction form
    252.60/376.80 = 249/x
  3. Step 3: Cross multiply
    252.60x = 376.80 × 249
  4. Step 4: Simplify right side
    252.60x = 93,823.20
  5. Step 5: Solve for x
    x = 93,823.20/252.60
  6. Step 6: Final answer
    x = 371.43

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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.