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Finding the Fourth Proportional to 344.34, 475.04 and 219.78

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Solution

The fourth proportional to 344.34, 475.04 and 219.78 is: 303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.34 : 475.04 = 219.78 : x
  2. Step 2: Convert to fraction form
    344.34/475.04 = 219.78/x
  3. Step 3: Cross multiply
    344.34x = 475.04 × 219.78
  4. Step 4: Simplify right side
    344.34x = 104,404.29
  5. Step 5: Solve for x
    x = 104,404.29/344.34
  6. Step 6: Final answer
    x = 303.20

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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.