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Finding the Fourth Proportional to 410.28, 566.18 and 223.78

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Solution

The fourth proportional to 410.28, 566.18 and 223.78 is: 308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 566.18 = 223.78 : x
  2. Step 2: Convert to fraction form
    410.28/566.18 = 223.78/x
  3. Step 3: Cross multiply
    410.28x = 566.18 × 223.78
  4. Step 4: Simplify right side
    410.28x = 126,699.76
  5. Step 5: Solve for x
    x = 126,699.76/410.28
  6. Step 6: Final answer
    x = 308.81

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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.