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Finding the Fourth Proportional to 645.31, 968.03 and 206.44

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Solution

The fourth proportional to 645.31, 968.03 and 206.44 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.31 : 968.03 = 206.44 : x
  2. Step 2: Convert to fraction form
    645.31/968.03 = 206.44/x
  3. Step 3: Cross multiply
    645.31x = 968.03 × 206.44
  4. Step 4: Simplify right side
    645.31x = 199,838.60
  5. Step 5: Solve for x
    x = 199,838.60/645.31
  6. Step 6: Final answer
    x = 309.68

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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.