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Finding the Fourth Proportional to 119.60, 178.39 and 109.12

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Solution

The fourth proportional to 119.60, 178.39 and 109.12 is: 162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 178.39 = 109.12 : x
  2. Step 2: Convert to fraction form
    119.60/178.39 = 109.12/x
  3. Step 3: Cross multiply
    119.60x = 178.39 × 109.12
  4. Step 4: Simplify right side
    119.60x = 19,465.92
  5. Step 5: Solve for x
    x = 19,465.92/119.60
  6. Step 6: Final answer
    x = 162.76

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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.