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Finding the Fourth Proportional to 221.54, 305.64 and 142.85

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Solution

The fourth proportional to 221.54, 305.64 and 142.85 is: 197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 305.64 = 142.85 : x
  2. Step 2: Convert to fraction form
    221.54/305.64 = 142.85/x
  3. Step 3: Cross multiply
    221.54x = 305.64 × 142.85
  4. Step 4: Simplify right side
    221.54x = 43,659.15
  5. Step 5: Solve for x
    x = 43,659.15/221.54
  6. Step 6: Final answer
    x = 197.08

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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.