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Finding the Fourth Proportional to 405.32, 608.06 and 222.62

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Solution

The fourth proportional to 405.32, 608.06 and 222.62 is: 333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.32 : 608.06 = 222.62 : x
  2. Step 2: Convert to fraction form
    405.32/608.06 = 222.62/x
  3. Step 3: Cross multiply
    405.32x = 608.06 × 222.62
  4. Step 4: Simplify right side
    405.32x = 135,363.83
  5. Step 5: Solve for x
    x = 135,363.83/405.32
  6. Step 6: Final answer
    x = 333.97

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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.