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Finding the Fourth Proportional to 438.36, 605.46 and 328.31

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Solution

The fourth proportional to 438.36, 605.46 and 328.31 is: 453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 605.46 = 328.31 : x
  2. Step 2: Convert to fraction form
    438.36/605.46 = 328.31/x
  3. Step 3: Cross multiply
    438.36x = 605.46 × 328.31
  4. Step 4: Simplify right side
    438.36x = 198,778.57
  5. Step 5: Solve for x
    x = 198,778.57/438.36
  6. Step 6: Final answer
    x = 453.46

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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.