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Finding the Fourth Proportional to 255.71, 352.90 and 139.28

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Solution

The fourth proportional to 255.71, 352.90 and 139.28 is: 192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.71 : 352.90 = 139.28 : x
  2. Step 2: Convert to fraction form
    255.71/352.90 = 139.28/x
  3. Step 3: Cross multiply
    255.71x = 352.90 × 139.28
  4. Step 4: Simplify right side
    255.71x = 49,149.80
  5. Step 5: Solve for x
    x = 49,149.80/255.71
  6. Step 6: Final answer
    x = 192.21

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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.