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Finding the Fourth Proportional to 410.33, 566.24 and 223.82

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Solution

The fourth proportional to 410.33, 566.24 and 223.82 is: 308.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.33 : 566.24 = 223.82 : x
  2. Step 2: Convert to fraction form
    410.33/566.24 = 223.82/x
  3. Step 3: Cross multiply
    410.33x = 566.24 × 223.82
  4. Step 4: Simplify right side
    410.33x = 126,734.01
  5. Step 5: Solve for x
    x = 126,734.01/410.33
  6. Step 6: Final answer
    x = 308.86

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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.