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Finding the Fourth Proportional to 409.99, 565.79 and 223.49

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Solution

The fourth proportional to 409.99, 565.79 and 223.49 is: 308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.99 : 565.79 = 223.49 : x
  2. Step 2: Convert to fraction form
    409.99/565.79 = 223.49/x
  3. Step 3: Cross multiply
    409.99x = 565.79 × 223.49
  4. Step 4: Simplify right side
    409.99x = 126,448.41
  5. Step 5: Solve for x
    x = 126,448.41/409.99
  6. Step 6: Final answer
    x = 308.42

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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.