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Finding the Fourth Proportional to 395.25, 545.45 and 220.61

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Solution

The fourth proportional to 395.25, 545.45 and 220.61 is: 304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.25 : 545.45 = 220.61 : x
  2. Step 2: Convert to fraction form
    395.25/545.45 = 220.61/x
  3. Step 3: Cross multiply
    395.25x = 545.45 × 220.61
  4. Step 4: Simplify right side
    395.25x = 120,327.89
  5. Step 5: Solve for x
    x = 120,327.89/395.25
  6. Step 6: Final answer
    x = 304.43

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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.