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Finding the Fourth Proportional to 221.22, 305.46 and 177.84

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Solution

The fourth proportional to 221.22, 305.46 and 177.84 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 305.46 = 177.84 : x
  2. Step 2: Convert to fraction form
    221.22/305.46 = 177.84/x
  3. Step 3: Cross multiply
    221.22x = 305.46 × 177.84
  4. Step 4: Simplify right side
    221.22x = 54,323.01
  5. Step 5: Solve for x
    x = 54,323.01/221.22
  6. Step 6: Final answer
    x = 245.56

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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.