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Finding the Fourth Proportional to 646.34, 968.90 and 213.39

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Solution

The fourth proportional to 646.34, 968.90 and 213.39 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 968.90 = 213.39 : x
  2. Step 2: Convert to fraction form
    646.34/968.90 = 213.39/x
  3. Step 3: Cross multiply
    646.34x = 968.90 × 213.39
  4. Step 4: Simplify right side
    646.34x = 206,752.50
  5. Step 5: Solve for x
    x = 206,752.50/646.34
  6. Step 6: Final answer
    x = 319.88

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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.