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Finding the Fourth Proportional to 406.33, 608.14 and 344.37

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Solution

The fourth proportional to 406.33, 608.14 and 344.37 is: 515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.33 : 608.14 = 344.37 : x
  2. Step 2: Convert to fraction form
    406.33/608.14 = 344.37/x
  3. Step 3: Cross multiply
    406.33x = 608.14 × 344.37
  4. Step 4: Simplify right side
    406.33x = 209,425.17
  5. Step 5: Solve for x
    x = 209,425.17/406.33
  6. Step 6: Final answer
    x = 515.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.