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Finding the Fourth Proportional to 169.76, 255 and 156.44

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Solution

The fourth proportional to 169.76, 255 and 156.44 is: 234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 255 = 156.44 : x
  2. Step 2: Convert to fraction form
    169.76/255 = 156.44/x
  3. Step 3: Cross multiply
    169.76x = 255 × 156.44
  4. Step 4: Simplify right side
    169.76x = 39,892.20
  5. Step 5: Solve for x
    x = 39,892.20/169.76
  6. Step 6: Final answer
    x = 234.99

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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.