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Finding the Fourth Proportional to 409.79, 565.53 and 223.27

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Solution

The fourth proportional to 409.79, 565.53 and 223.27 is: 308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.79 : 565.53 = 223.27 : x
  2. Step 2: Convert to fraction form
    409.79/565.53 = 223.27/x
  3. Step 3: Cross multiply
    409.79x = 565.53 × 223.27
  4. Step 4: Simplify right side
    409.79x = 126,266.74
  5. Step 5: Solve for x
    x = 126,266.74/409.79
  6. Step 6: Final answer
    x = 308.12

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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.