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Finding the Fourth Proportional to 119.44, 178.16 and 107.29

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Solution

The fourth proportional to 119.44, 178.16 and 107.29 is: 160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.44 : 178.16 = 107.29 : x
  2. Step 2: Convert to fraction form
    119.44/178.16 = 107.29/x
  3. Step 3: Cross multiply
    119.44x = 178.16 × 107.29
  4. Step 4: Simplify right side
    119.44x = 19,114.79
  5. Step 5: Solve for x
    x = 19,114.79/119.44
  6. Step 6: Final answer
    x = 160.04

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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.