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Finding the Fourth Proportional to 192.75, 288.79 and 127.71

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Solution

The fourth proportional to 192.75, 288.79 and 127.71 is: 191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 288.79 = 127.71 : x
  2. Step 2: Convert to fraction form
    192.75/288.79 = 127.71/x
  3. Step 3: Cross multiply
    192.75x = 288.79 × 127.71
  4. Step 4: Simplify right side
    192.75x = 36,881.37
  5. Step 5: Solve for x
    x = 36,881.37/192.75
  6. Step 6: Final answer
    x = 191.34

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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.