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Finding the Fourth Proportional to 149.60, 205.74 and 120.44

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Solution

The fourth proportional to 149.60, 205.74 and 120.44 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.60 : 205.74 = 120.44 : x
  2. Step 2: Convert to fraction form
    149.60/205.74 = 120.44/x
  3. Step 3: Cross multiply
    149.60x = 205.74 × 120.44
  4. Step 4: Simplify right side
    149.60x = 24,779.33
  5. Step 5: Solve for x
    x = 24,779.33/149.60
  6. Step 6: Final answer
    x = 165.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.