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Finding the Fourth Proportional to 255.82, 382.90 and 169.22

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Solution

The fourth proportional to 255.82, 382.90 and 169.22 is: 253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.82 : 382.90 = 169.22 : x
  2. Step 2: Convert to fraction form
    255.82/382.90 = 169.22/x
  3. Step 3: Cross multiply
    255.82x = 382.90 × 169.22
  4. Step 4: Simplify right side
    255.82x = 64,794.34
  5. Step 5: Solve for x
    x = 64,794.34/255.82
  6. Step 6: Final answer
    x = 253.28

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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.