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Finding the Fourth Proportional to 639.10, 958.65 and 206.25

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Solution

The fourth proportional to 639.10, 958.65 and 206.25 is: 309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.10 : 958.65 = 206.25 : x
  2. Step 2: Convert to fraction form
    639.10/958.65 = 206.25/x
  3. Step 3: Cross multiply
    639.10x = 958.65 × 206.25
  4. Step 4: Simplify right side
    639.10x = 197,721.56
  5. Step 5: Solve for x
    x = 197,721.56/639.10
  6. Step 6: Final answer
    x = 309.38

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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.