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Finding the Fourth Proportional to 259.96, 360.58 and 251.22

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Solution

The fourth proportional to 259.96, 360.58 and 251.22 is: 348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 360.58 = 251.22 : x
  2. Step 2: Convert to fraction form
    259.96/360.58 = 251.22/x
  3. Step 3: Cross multiply
    259.96x = 360.58 × 251.22
  4. Step 4: Simplify right side
    259.96x = 90,584.91
  5. Step 5: Solve for x
    x = 90,584.91/259.96
  6. Step 6: Final answer
    x = 348.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.