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Finding the Fourth Proportional to 192.08, 289.28 and 169.51

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Solution

The fourth proportional to 192.08, 289.28 and 169.51 is: 255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.08 : 289.28 = 169.51 : x
  2. Step 2: Convert to fraction form
    192.08/289.28 = 169.51/x
  3. Step 3: Cross multiply
    192.08x = 289.28 × 169.51
  4. Step 4: Simplify right side
    192.08x = 49,034.41
  5. Step 5: Solve for x
    x = 49,034.41/192.08
  6. Step 6: Final answer
    x = 255.28

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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.