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Finding the Fourth Proportional to 222.78, 334.77 and 120.14

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Solution

The fourth proportional to 222.78, 334.77 and 120.14 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.78 : 334.77 = 120.14 : x
  2. Step 2: Convert to fraction form
    222.78/334.77 = 120.14/x
  3. Step 3: Cross multiply
    222.78x = 334.77 × 120.14
  4. Step 4: Simplify right side
    222.78x = 40,219.34
  5. Step 5: Solve for x
    x = 40,219.34/222.78
  6. Step 6: Final answer
    x = 180.53

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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.