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Finding the Fourth Proportional to 408.90, 565.00 and 326.68

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Solution

The fourth proportional to 408.90, 565.00 and 326.68 is: 451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.90 : 565.00 = 326.68 : x
  2. Step 2: Convert to fraction form
    408.90/565.00 = 326.68/x
  3. Step 3: Cross multiply
    408.90x = 565.00 × 326.68
  4. Step 4: Simplify right side
    408.90x = 184,576.07
  5. Step 5: Solve for x
    x = 184,576.07/408.90
  6. Step 6: Final answer
    x = 451.40

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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.