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Finding the Fourth Proportional to 119.07, 179.42 and 110.43

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Solution

The fourth proportional to 119.07, 179.42 and 110.43 is: 166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.07 : 179.42 = 110.43 : x
  2. Step 2: Convert to fraction form
    119.07/179.42 = 110.43/x
  3. Step 3: Cross multiply
    119.07x = 179.42 × 110.43
  4. Step 4: Simplify right side
    119.07x = 19,812.80
  5. Step 5: Solve for x
    x = 19,812.80/119.07
  6. Step 6: Final answer
    x = 166.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.