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Finding the Fourth Proportional to 119.43, 178.94 and 99.11

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Solution

The fourth proportional to 119.43, 178.94 and 99.11 is: 148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.43 : 178.94 = 99.11 : x
  2. Step 2: Convert to fraction form
    119.43/178.94 = 99.11/x
  3. Step 3: Cross multiply
    119.43x = 178.94 × 99.11
  4. Step 4: Simplify right side
    119.43x = 17,735.44
  5. Step 5: Solve for x
    x = 17,735.44/119.43
  6. Step 6: Final answer
    x = 148.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.