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Finding the Fourth Proportional to 395.89, 546.28 and 221.22

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Solution

The fourth proportional to 395.89, 546.28 and 221.22 is: 305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.89 : 546.28 = 221.22 : x
  2. Step 2: Convert to fraction form
    395.89/546.28 = 221.22/x
  3. Step 3: Cross multiply
    395.89x = 546.28 × 221.22
  4. Step 4: Simplify right side
    395.89x = 120,847.51
  5. Step 5: Solve for x
    x = 120,847.51/395.89
  6. Step 6: Final answer
    x = 305.26

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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.