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Finding the Fourth Proportional to 192.31, 287.78 and 179.44

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Solution

The fourth proportional to 192.31, 287.78 and 179.44 is: 268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.31 : 287.78 = 179.44 : x
  2. Step 2: Convert to fraction form
    192.31/287.78 = 179.44/x
  3. Step 3: Cross multiply
    192.31x = 287.78 × 179.44
  4. Step 4: Simplify right side
    192.31x = 51,637.63
  5. Step 5: Solve for x
    x = 51,637.63/192.31
  6. Step 6: Final answer
    x = 268.51

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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.