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Finding the Fourth Proportional to 423.02, 635.16 and 206.75

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Solution

The fourth proportional to 423.02, 635.16 and 206.75 is: 310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.02 : 635.16 = 206.75 : x
  2. Step 2: Convert to fraction form
    423.02/635.16 = 206.75/x
  3. Step 3: Cross multiply
    423.02x = 635.16 × 206.75
  4. Step 4: Simplify right side
    423.02x = 131,319.33
  5. Step 5: Solve for x
    x = 131,319.33/423.02
  6. Step 6: Final answer
    x = 310.43

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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.