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Finding the Fourth Proportional to 119.84, 180.84 and 115.55

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Solution

The fourth proportional to 119.84, 180.84 and 115.55 is: 174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.84 : 180.84 = 115.55 : x
  2. Step 2: Convert to fraction form
    119.84/180.84 = 115.55/x
  3. Step 3: Cross multiply
    119.84x = 180.84 × 115.55
  4. Step 4: Simplify right side
    119.84x = 20,896.95
  5. Step 5: Solve for x
    x = 20,896.95/119.84
  6. Step 6: Final answer
    x = 174.37

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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.