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Finding the Fourth Proportional to 395.75, 546.14 and 221.11

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Solution

The fourth proportional to 395.75, 546.14 and 221.11 is: 305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.75 : 546.14 = 221.11 : x
  2. Step 2: Convert to fraction form
    395.75/546.14 = 221.11/x
  3. Step 3: Cross multiply
    395.75x = 546.14 × 221.11
  4. Step 4: Simplify right side
    395.75x = 120,757.02
  5. Step 5: Solve for x
    x = 120,757.02/395.75
  6. Step 6: Final answer
    x = 305.13

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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.