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Finding the Fourth Proportional to 220.74, 305.01 and 181.86

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Solution

The fourth proportional to 220.74, 305.01 and 181.86 is: 251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.74 : 305.01 = 181.86 : x
  2. Step 2: Convert to fraction form
    220.74/305.01 = 181.86/x
  3. Step 3: Cross multiply
    220.74x = 305.01 × 181.86
  4. Step 4: Simplify right side
    220.74x = 55,469.12
  5. Step 5: Solve for x
    x = 55,469.12/220.74
  6. Step 6: Final answer
    x = 251.29

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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.