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Finding the Fourth Proportional to 192.60, 289.53 and 158.61

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Solution

The fourth proportional to 192.60, 289.53 and 158.61 is: 238.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.60 : 289.53 = 158.61 : x
  2. Step 2: Convert to fraction form
    192.60/289.53 = 158.61/x
  3. Step 3: Cross multiply
    192.60x = 289.53 × 158.61
  4. Step 4: Simplify right side
    192.60x = 45,922.35
  5. Step 5: Solve for x
    x = 45,922.35/192.60
  6. Step 6: Final answer
    x = 238.43

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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.