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Finding the Fourth Proportional to 221.57, 305.36 and 181.62

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Solution

The fourth proportional to 221.57, 305.36 and 181.62 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.57 : 305.36 = 181.62 : x
  2. Step 2: Convert to fraction form
    221.57/305.36 = 181.62/x
  3. Step 3: Cross multiply
    221.57x = 305.36 × 181.62
  4. Step 4: Simplify right side
    221.57x = 55,458.58
  5. Step 5: Solve for x
    x = 55,458.58/221.57
  6. Step 6: Final answer
    x = 250.30

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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.