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Finding the Fourth Proportional to 255.26, 352.34 and 172.61

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Solution

The fourth proportional to 255.26, 352.34 and 172.61 is: 238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.26 : 352.34 = 172.61 : x
  2. Step 2: Convert to fraction form
    255.26/352.34 = 172.61/x
  3. Step 3: Cross multiply
    255.26x = 352.34 × 172.61
  4. Step 4: Simplify right side
    255.26x = 60,817.41
  5. Step 5: Solve for x
    x = 60,817.41/255.26
  6. Step 6: Final answer
    x = 238.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.