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Finding the Fourth Proportional to 192.06, 289.68 and 169.53

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Solution

The fourth proportional to 192.06, 289.68 and 169.53 is: 255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.06 : 289.68 = 169.53 : x
  2. Step 2: Convert to fraction form
    192.06/289.68 = 169.53/x
  3. Step 3: Cross multiply
    192.06x = 289.68 × 169.53
  4. Step 4: Simplify right side
    192.06x = 49,109.45
  5. Step 5: Solve for x
    x = 49,109.45/192.06
  6. Step 6: Final answer
    x = 255.70

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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.