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Finding the Fourth Proportional to 120.25, 179.94 and 102.91

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Solution

The fourth proportional to 120.25, 179.94 and 102.91 is: 153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.25 : 179.94 = 102.91 : x
  2. Step 2: Convert to fraction form
    120.25/179.94 = 102.91/x
  3. Step 3: Cross multiply
    120.25x = 179.94 × 102.91
  4. Step 4: Simplify right side
    120.25x = 18,517.63
  5. Step 5: Solve for x
    x = 18,517.63/120.25
  6. Step 6: Final answer
    x = 153.99

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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.