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Finding the Fourth Proportional to 119.54, 178.42 and 114.27

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Solution

The fourth proportional to 119.54, 178.42 and 114.27 is: 170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.54 : 178.42 = 114.27 : x
  2. Step 2: Convert to fraction form
    119.54/178.42 = 114.27/x
  3. Step 3: Cross multiply
    119.54x = 178.42 × 114.27
  4. Step 4: Simplify right side
    119.54x = 20,388.05
  5. Step 5: Solve for x
    x = 20,388.05/119.54
  6. Step 6: Final answer
    x = 170.55

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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.