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Finding the Fourth Proportional to 221.11, 305.11 and 122.84

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Solution

The fourth proportional to 221.11, 305.11 and 122.84 is: 169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.11 : 305.11 = 122.84 : x
  2. Step 2: Convert to fraction form
    221.11/305.11 = 122.84/x
  3. Step 3: Cross multiply
    221.11x = 305.11 × 122.84
  4. Step 4: Simplify right side
    221.11x = 37,479.71
  5. Step 5: Solve for x
    x = 37,479.71/221.11
  6. Step 6: Final answer
    x = 169.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.