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Finding the Fourth Proportional to 169.83, 255.99 and 158.70

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Solution

The fourth proportional to 169.83, 255.99 and 158.70 is: 239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 255.99 = 158.70 : x
  2. Step 2: Convert to fraction form
    169.83/255.99 = 158.70/x
  3. Step 3: Cross multiply
    169.83x = 255.99 × 158.70
  4. Step 4: Simplify right side
    169.83x = 40,625.61
  5. Step 5: Solve for x
    x = 40,625.61/169.83
  6. Step 6: Final answer
    x = 239.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.