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Finding the Fourth Proportional to 120.39, 179.54 and 111.27

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Solution

The fourth proportional to 120.39, 179.54 and 111.27 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.39 : 179.54 = 111.27 : x
  2. Step 2: Convert to fraction form
    120.39/179.54 = 111.27/x
  3. Step 3: Cross multiply
    120.39x = 179.54 × 111.27
  4. Step 4: Simplify right side
    120.39x = 19,978.26
  5. Step 5: Solve for x
    x = 19,978.26/120.39
  6. Step 6: Final answer
    x = 165.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.