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Finding the Fourth Proportional to 119.57, 178.38 and 107.42

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Solution

The fourth proportional to 119.57, 178.38 and 107.42 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.57 : 178.38 = 107.42 : x
  2. Step 2: Convert to fraction form
    119.57/178.38 = 107.42/x
  3. Step 3: Cross multiply
    119.57x = 178.38 × 107.42
  4. Step 4: Simplify right side
    119.57x = 19,160.69
  5. Step 5: Solve for x
    x = 19,160.69/119.57
  6. Step 6: Final answer
    x = 160.25

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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.