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Finding the Fourth Proportional to 119.56, 178.11 and 118.39

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Solution

The fourth proportional to 119.56, 178.11 and 118.39 is: 176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.56 : 178.11 = 118.39 : x
  2. Step 2: Convert to fraction form
    119.56/178.11 = 118.39/x
  3. Step 3: Cross multiply
    119.56x = 178.11 × 118.39
  4. Step 4: Simplify right side
    119.56x = 21,086.44
  5. Step 5: Solve for x
    x = 21,086.44/119.56
  6. Step 6: Final answer
    x = 176.37

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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.