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Finding the Fourth Proportional to 192.85, 289.28 and 121.03

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Solution

The fourth proportional to 192.85, 289.28 and 121.03 is: 181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.85 : 289.28 = 121.03 : x
  2. Step 2: Convert to fraction form
    192.85/289.28 = 121.03/x
  3. Step 3: Cross multiply
    192.85x = 289.28 × 121.03
  4. Step 4: Simplify right side
    192.85x = 35,011.56
  5. Step 5: Solve for x
    x = 35,011.56/192.85
  6. Step 6: Final answer
    x = 181.55

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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.