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Finding the Fourth Proportional to 415.17, 622.73 and 209.90

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Solution

The fourth proportional to 415.17, 622.73 and 209.90 is: 314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.17 : 622.73 = 209.90 : x
  2. Step 2: Convert to fraction form
    415.17/622.73 = 209.90/x
  3. Step 3: Cross multiply
    415.17x = 622.73 × 209.90
  4. Step 4: Simplify right side
    415.17x = 130,706.86
  5. Step 5: Solve for x
    x = 130,706.86/415.17
  6. Step 6: Final answer
    x = 314.83

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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.