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Finding the Fourth Proportional to 415.11, 622.81 and 209.50

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Solution

The fourth proportional to 415.11, 622.81 and 209.50 is: 314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.11 : 622.81 = 209.50 : x
  2. Step 2: Convert to fraction form
    415.11/622.81 = 209.50/x
  3. Step 3: Cross multiply
    415.11x = 622.81 × 209.50
  4. Step 4: Simplify right side
    415.11x = 130,479.72
  5. Step 5: Solve for x
    x = 130,479.72/415.11
  6. Step 6: Final answer
    x = 314.33

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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.