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Finding the Fourth Proportional to 295.20, 406.53 and 221.69

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Solution

The fourth proportional to 295.20, 406.53 and 221.69 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.20 : 406.53 = 221.69 : x
  2. Step 2: Convert to fraction form
    295.20/406.53 = 221.69/x
  3. Step 3: Cross multiply
    295.20x = 406.53 × 221.69
  4. Step 4: Simplify right side
    295.20x = 90,121.60
  5. Step 5: Solve for x
    x = 90,121.60/295.20
  6. Step 6: Final answer
    x = 305.29

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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.