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Finding the Fourth Proportional to 173.28, 238.88 and 142.04

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Solution

The fourth proportional to 173.28, 238.88 and 142.04 is: 195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.28 : 238.88 = 142.04 : x
  2. Step 2: Convert to fraction form
    173.28/238.88 = 142.04/x
  3. Step 3: Cross multiply
    173.28x = 238.88 × 142.04
  4. Step 4: Simplify right side
    173.28x = 33,930.52
  5. Step 5: Solve for x
    x = 33,930.52/173.28
  6. Step 6: Final answer
    x = 195.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.