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Finding the Fourth Proportional to 483.46, 725.37 and 252.21

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Solution

The fourth proportional to 483.46, 725.37 and 252.21 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.46 : 725.37 = 252.21 : x
  2. Step 2: Convert to fraction form
    483.46/725.37 = 252.21/x
  3. Step 3: Cross multiply
    483.46x = 725.37 × 252.21
  4. Step 4: Simplify right side
    483.46x = 182,945.57
  5. Step 5: Solve for x
    x = 182,945.57/483.46
  6. Step 6: Final answer
    x = 378.41

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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.