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Finding the Fourth Proportional to 646.46, 969.60 and 213.56

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Solution

The fourth proportional to 646.46, 969.60 and 213.56 is: 320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.46 : 969.60 = 213.56 : x
  2. Step 2: Convert to fraction form
    646.46/969.60 = 213.56/x
  3. Step 3: Cross multiply
    646.46x = 969.60 × 213.56
  4. Step 4: Simplify right side
    646.46x = 207,067.78
  5. Step 5: Solve for x
    x = 207,067.78/646.46
  6. Step 6: Final answer
    x = 320.31

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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.