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Finding the Fourth Proportional to 857.54, 1,286.21 and 241.27

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Solution

The fourth proportional to 857.54, 1,286.21 and 241.27 is: 361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.54 : 1,286.21 = 241.27 : x
  2. Step 2: Convert to fraction form
    857.54/1,286.21 = 241.27/x
  3. Step 3: Cross multiply
    857.54x = 1,286.21 × 241.27
  4. Step 4: Simplify right side
    857.54x = 310,319.46
  5. Step 5: Solve for x
    x = 310,319.46/857.54
  6. Step 6: Final answer
    x = 361.87

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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.