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Finding the Fourth Proportional to 119.97, 180.57 and 102.35

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Solution

The fourth proportional to 119.97, 180.57 and 102.35 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.97 : 180.57 = 102.35 : x
  2. Step 2: Convert to fraction form
    119.97/180.57 = 102.35/x
  3. Step 3: Cross multiply
    119.97x = 180.57 × 102.35
  4. Step 4: Simplify right side
    119.97x = 18,481.34
  5. Step 5: Solve for x
    x = 18,481.34/119.97
  6. Step 6: Final answer
    x = 154.05

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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.