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Finding the Fourth Proportional to 395.09, 545.22 and 220.43

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Solution

The fourth proportional to 395.09, 545.22 and 220.43 is: 304.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.09 : 545.22 = 220.43 : x
  2. Step 2: Convert to fraction form
    395.09/545.22 = 220.43/x
  3. Step 3: Cross multiply
    395.09x = 545.22 × 220.43
  4. Step 4: Simplify right side
    395.09x = 120,182.36
  5. Step 5: Solve for x
    x = 120,182.36/395.09
  6. Step 6: Final answer
    x = 304.19

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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.