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Finding the Fourth Proportional to 405.33, 608.38 and 213.09

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Solution

The fourth proportional to 405.33, 608.38 and 213.09 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.33 : 608.38 = 213.09 : x
  2. Step 2: Convert to fraction form
    405.33/608.38 = 213.09/x
  3. Step 3: Cross multiply
    405.33x = 608.38 × 213.09
  4. Step 4: Simplify right side
    405.33x = 129,638.63
  5. Step 5: Solve for x
    x = 129,638.63/405.33
  6. Step 6: Final answer
    x = 319.83

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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.