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Finding the Fourth Proportional to 405.25, 606.32 and 222.77

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Solution

The fourth proportional to 405.25, 606.32 and 222.77 is: 333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.25 : 606.32 = 222.77 : x
  2. Step 2: Convert to fraction form
    405.25/606.32 = 222.77/x
  3. Step 3: Cross multiply
    405.25x = 606.32 × 222.77
  4. Step 4: Simplify right side
    405.25x = 135,066.87
  5. Step 5: Solve for x
    x = 135,066.87/405.25
  6. Step 6: Final answer
    x = 333.30

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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.