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Finding the Fourth Proportional to 395.93, 546.43 and 221.29

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Solution

The fourth proportional to 395.93, 546.43 and 221.29 is: 305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 546.43 = 221.29 : x
  2. Step 2: Convert to fraction form
    395.93/546.43 = 221.29/x
  3. Step 3: Cross multiply
    395.93x = 546.43 × 221.29
  4. Step 4: Simplify right side
    395.93x = 120,919.49
  5. Step 5: Solve for x
    x = 120,919.49/395.93
  6. Step 6: Final answer
    x = 305.41

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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.