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Finding the Fourth Proportional to 405.96, 608.40 and 223.44

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Solution

The fourth proportional to 405.96, 608.40 and 223.44 is: 334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.96 : 608.40 = 223.44 : x
  2. Step 2: Convert to fraction form
    405.96/608.40 = 223.44/x
  3. Step 3: Cross multiply
    405.96x = 608.40 × 223.44
  4. Step 4: Simplify right side
    405.96x = 135,940.90
  5. Step 5: Solve for x
    x = 135,940.90/405.96
  6. Step 6: Final answer
    x = 334.86

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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.