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Finding the Fourth Proportional to 405.75, 608.67 and 213.42

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Solution

The fourth proportional to 405.75, 608.67 and 213.42 is: 320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.75 : 608.67 = 213.42 : x
  2. Step 2: Convert to fraction form
    405.75/608.67 = 213.42/x
  3. Step 3: Cross multiply
    405.75x = 608.67 × 213.42
  4. Step 4: Simplify right side
    405.75x = 129,902.35
  5. Step 5: Solve for x
    x = 129,902.35/405.75
  6. Step 6: Final answer
    x = 320.15

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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.