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Finding the Fourth Proportional to 409.82, 565.54 and 223.31

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Solution

The fourth proportional to 409.82, 565.54 and 223.31 is: 308.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 565.54 = 223.31 : x
  2. Step 2: Convert to fraction form
    409.82/565.54 = 223.31/x
  3. Step 3: Cross multiply
    409.82x = 565.54 × 223.31
  4. Step 4: Simplify right side
    409.82x = 126,291.59
  5. Step 5: Solve for x
    x = 126,291.59/409.82
  6. Step 6: Final answer
    x = 308.17

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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.