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Finding the Fourth Proportional to 409.33, 564.87 and 222.81

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Solution

The fourth proportional to 409.33, 564.87 and 222.81 is: 307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.33 : 564.87 = 222.81 : x
  2. Step 2: Convert to fraction form
    409.33/564.87 = 222.81/x
  3. Step 3: Cross multiply
    409.33x = 564.87 × 222.81
  4. Step 4: Simplify right side
    409.33x = 125,861.37
  5. Step 5: Solve for x
    x = 125,861.37/409.33
  6. Step 6: Final answer
    x = 307.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.