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Finding the Fourth Proportional to 119.28, 179.60 and 83.44

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Solution

The fourth proportional to 119.28, 179.60 and 83.44 is: 125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 179.60 = 83.44 : x
  2. Step 2: Convert to fraction form
    119.28/179.60 = 83.44/x
  3. Step 3: Cross multiply
    119.28x = 179.60 × 83.44
  4. Step 4: Simplify right side
    119.28x = 14,985.58
  5. Step 5: Solve for x
    x = 14,985.58/119.28
  6. Step 6: Final answer
    x = 125.63

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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.