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Finding the Fourth Proportional to 415.58, 622.70 and 220.57

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Solution

The fourth proportional to 415.58, 622.70 and 220.57 is: 330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.58 : 622.70 = 220.57 : x
  2. Step 2: Convert to fraction form
    415.58/622.70 = 220.57/x
  3. Step 3: Cross multiply
    415.58x = 622.70 × 220.57
  4. Step 4: Simplify right side
    415.58x = 137,344.72
  5. Step 5: Solve for x
    x = 137,344.72/415.58
  6. Step 6: Final answer
    x = 330.49

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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.