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Finding the Fourth Proportional to 255.66, 352.89 and 172.71

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Solution

The fourth proportional to 255.66, 352.89 and 172.71 is: 238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.66 : 352.89 = 172.71 : x
  2. Step 2: Convert to fraction form
    255.66/352.89 = 172.71/x
  3. Step 3: Cross multiply
    255.66x = 352.89 × 172.71
  4. Step 4: Simplify right side
    255.66x = 60,947.63
  5. Step 5: Solve for x
    x = 60,947.63/255.66
  6. Step 6: Final answer
    x = 238.39

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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.