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Finding the Fourth Proportional to 857.47, 1,286.31 and 272.31

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Solution

The fourth proportional to 857.47, 1,286.31 and 272.31 is: 408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,286.31 = 272.31 : x
  2. Step 2: Convert to fraction form
    857.47/1,286.31 = 272.31/x
  3. Step 3: Cross multiply
    857.47x = 1,286.31 × 272.31
  4. Step 4: Simplify right side
    857.47x = 350,274.40
  5. Step 5: Solve for x
    x = 350,274.40/857.47
  6. Step 6: Final answer
    x = 408.50

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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.