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Finding the Fourth Proportional to 410.35, 566.27 and 223.85

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Solution

The fourth proportional to 410.35, 566.27 and 223.85 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.35 : 566.27 = 223.85 : x
  2. Step 2: Convert to fraction form
    410.35/566.27 = 223.85/x
  3. Step 3: Cross multiply
    410.35x = 566.27 × 223.85
  4. Step 4: Simplify right side
    410.35x = 126,759.54
  5. Step 5: Solve for x
    x = 126,759.54/410.35
  6. Step 6: Final answer
    x = 308.91

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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.