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Finding the Fourth Proportional to 120.36, 180.84 and 74.82

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Solution

The fourth proportional to 120.36, 180.84 and 74.82 is: 112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 180.84 = 74.82 : x
  2. Step 2: Convert to fraction form
    120.36/180.84 = 74.82/x
  3. Step 3: Cross multiply
    120.36x = 180.84 × 74.82
  4. Step 4: Simplify right side
    120.36x = 13,530.45
  5. Step 5: Solve for x
    x = 13,530.45/120.36
  6. Step 6: Final answer
    x = 112.42

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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.