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Finding the Fourth Proportional to 857.35, 1,286.02 and 208.08

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Solution

The fourth proportional to 857.35, 1,286.02 and 208.08 is: 312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.35 : 1,286.02 = 208.08 : x
  2. Step 2: Convert to fraction form
    857.35/1,286.02 = 208.08/x
  3. Step 3: Cross multiply
    857.35x = 1,286.02 × 208.08
  4. Step 4: Simplify right side
    857.35x = 267,591.05
  5. Step 5: Solve for x
    x = 267,591.05/857.35
  6. Step 6: Final answer
    x = 312.12

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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.