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Finding the Fourth Proportional to 387.97, 535.40 and 213.31

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Solution

The fourth proportional to 387.97, 535.40 and 213.31 is: 294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.97 : 535.40 = 213.31 : x
  2. Step 2: Convert to fraction form
    387.97/535.40 = 213.31/x
  3. Step 3: Cross multiply
    387.97x = 535.40 × 213.31
  4. Step 4: Simplify right side
    387.97x = 114,205.11
  5. Step 5: Solve for x
    x = 114,205.11/387.97
  6. Step 6: Final answer
    x = 294.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.