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Finding the Fourth Proportional to 410.43, 566.38 and 223.91

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Solution

The fourth proportional to 410.43, 566.38 and 223.91 is: 308.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.43 : 566.38 = 223.91 : x
  2. Step 2: Convert to fraction form
    410.43/566.38 = 223.91/x
  3. Step 3: Cross multiply
    410.43x = 566.38 × 223.91
  4. Step 4: Simplify right side
    410.43x = 126,820.59
  5. Step 5: Solve for x
    x = 126,820.59/410.43
  6. Step 6: Final answer
    x = 308.99

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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.