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Finding the Fourth Proportional to 409.82, 565.64 and 327.57

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Solution

The fourth proportional to 409.82, 565.64 and 327.57 is: 452.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 565.64 = 327.57 : x
  2. Step 2: Convert to fraction form
    409.82/565.64 = 327.57/x
  3. Step 3: Cross multiply
    409.82x = 565.64 × 327.57
  4. Step 4: Simplify right side
    409.82x = 185,285.06
  5. Step 5: Solve for x
    x = 185,285.06/409.82
  6. Step 6: Final answer
    x = 452.12

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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.