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Finding the Fourth Proportional to 252.65, 376.32 and 249.50

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Solution

The fourth proportional to 252.65, 376.32 and 249.50 is: 371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.65 : 376.32 = 249.50 : x
  2. Step 2: Convert to fraction form
    252.65/376.32 = 249.50/x
  3. Step 3: Cross multiply
    252.65x = 376.32 × 249.50
  4. Step 4: Simplify right side
    252.65x = 93,889.96
  5. Step 5: Solve for x
    x = 93,889.96/252.65
  6. Step 6: Final answer
    x = 371.63

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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.