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Finding the Fourth Proportional to 646.27, 969.63 and 213.46

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Solution

The fourth proportional to 646.27, 969.63 and 213.46 is: 320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.27 : 969.63 = 213.46 : x
  2. Step 2: Convert to fraction form
    646.27/969.63 = 213.46/x
  3. Step 3: Cross multiply
    646.27x = 969.63 × 213.46
  4. Step 4: Simplify right side
    646.27x = 206,977.22
  5. Step 5: Solve for x
    x = 206,977.22/646.27
  6. Step 6: Final answer
    x = 320.26

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1.5x scale

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.