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Finding the Fourth Proportional to 174.45, 261.80 and 120.25

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Solution

The fourth proportional to 174.45, 261.80 and 120.25 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 261.80 = 120.25 : x
  2. Step 2: Convert to fraction form
    174.45/261.80 = 120.25/x
  3. Step 3: Cross multiply
    174.45x = 261.80 × 120.25
  4. Step 4: Simplify right side
    174.45x = 31,481.63
  5. Step 5: Solve for x
    x = 31,481.63/174.45
  6. Step 6: Final answer
    x = 180.46

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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.