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Finding the Fourth Proportional to 192.26, 289.43 and 175.52

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Solution

The fourth proportional to 192.26, 289.43 and 175.52 is: 264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.26 : 289.43 = 175.52 : x
  2. Step 2: Convert to fraction form
    192.26/289.43 = 175.52/x
  3. Step 3: Cross multiply
    192.26x = 289.43 × 175.52
  4. Step 4: Simplify right side
    192.26x = 50,799.84
  5. Step 5: Solve for x
    x = 50,799.84/192.26
  6. Step 6: Final answer
    x = 264.23

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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.