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Finding the Fourth Proportional to 646.31, 969.56 and 213.59

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Solution

The fourth proportional to 646.31, 969.56 and 213.59 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.31 : 969.56 = 213.59 : x
  2. Step 2: Convert to fraction form
    646.31/969.56 = 213.59/x
  3. Step 3: Cross multiply
    646.31x = 969.56 × 213.59
  4. Step 4: Simplify right side
    646.31x = 207,088.32
  5. Step 5: Solve for x
    x = 207,088.32/646.31
  6. Step 6: Final answer
    x = 320.42

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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.