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Finding the Fourth Proportional to 192.05, 289.64 and 185.88

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Solution

The fourth proportional to 192.05, 289.64 and 185.88 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.05 : 289.64 = 185.88 : x
  2. Step 2: Convert to fraction form
    192.05/289.64 = 185.88/x
  3. Step 3: Cross multiply
    192.05x = 289.64 × 185.88
  4. Step 4: Simplify right side
    192.05x = 53,839.83
  5. Step 5: Solve for x
    x = 53,839.83/192.05
  6. Step 6: Final answer
    x = 280.34

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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.