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Finding the Fourth Proportional to 119.35, 178.16 and 110.91

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Solution

The fourth proportional to 119.35, 178.16 and 110.91 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.35 : 178.16 = 110.91 : x
  2. Step 2: Convert to fraction form
    119.35/178.16 = 110.91/x
  3. Step 3: Cross multiply
    119.35x = 178.16 × 110.91
  4. Step 4: Simplify right side
    119.35x = 19,759.73
  5. Step 5: Solve for x
    x = 19,759.73/119.35
  6. Step 6: Final answer
    x = 165.56

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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.