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Finding the Fourth Proportional to 415.26, 622.62 and 223.02

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Solution

The fourth proportional to 415.26, 622.62 and 223.02 is: 334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 622.62 = 223.02 : x
  2. Step 2: Convert to fraction form
    415.26/622.62 = 223.02/x
  3. Step 3: Cross multiply
    415.26x = 622.62 × 223.02
  4. Step 4: Simplify right side
    415.26x = 138,856.71
  5. Step 5: Solve for x
    x = 138,856.71/415.26
  6. Step 6: Final answer
    x = 334.38

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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.