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Finding the Fourth Proportional to 259.38, 389.07 and 252.54

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Solution

The fourth proportional to 259.38, 389.07 and 252.54 is: 378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.38 : 389.07 = 252.54 : x
  2. Step 2: Convert to fraction form
    259.38/389.07 = 252.54/x
  3. Step 3: Cross multiply
    259.38x = 389.07 × 252.54
  4. Step 4: Simplify right side
    259.38x = 98,255.74
  5. Step 5: Solve for x
    x = 98,255.74/259.38
  6. Step 6: Final answer
    x = 378.81

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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.