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Finding the Fourth Proportional to 222.13, 333.20 and 113.77

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Solution

The fourth proportional to 222.13, 333.20 and 113.77 is: 170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.13 : 333.20 = 113.77 : x
  2. Step 2: Convert to fraction form
    222.13/333.20 = 113.77/x
  3. Step 3: Cross multiply
    222.13x = 333.20 × 113.77
  4. Step 4: Simplify right side
    222.13x = 37,908.16
  5. Step 5: Solve for x
    x = 37,908.16/222.13
  6. Step 6: Final answer
    x = 170.66

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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.