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Finding the Fourth Proportional to 120.84, 180.17 and 113.80

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Solution

The fourth proportional to 120.84, 180.17 and 113.80 is: 169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.84 : 180.17 = 113.80 : x
  2. Step 2: Convert to fraction form
    120.84/180.17 = 113.80/x
  3. Step 3: Cross multiply
    120.84x = 180.17 × 113.80
  4. Step 4: Simplify right side
    120.84x = 20,503.35
  5. Step 5: Solve for x
    x = 20,503.35/120.84
  6. Step 6: Final answer
    x = 169.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.