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Finding the Fourth Proportional to 409.79, 565.52 and 223.29

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Solution

The fourth proportional to 409.79, 565.52 and 223.29 is: 308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.79 : 565.52 = 223.29 : x
  2. Step 2: Convert to fraction form
    409.79/565.52 = 223.29/x
  3. Step 3: Cross multiply
    409.79x = 565.52 × 223.29
  4. Step 4: Simplify right side
    409.79x = 126,273.84
  5. Step 5: Solve for x
    x = 126,273.84/409.79
  6. Step 6: Final answer
    x = 308.15

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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.