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Finding the Fourth Proportional to 857.49, 1,286.24 and 208.22

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Solution

The fourth proportional to 857.49, 1,286.24 and 208.22 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,286.24 = 208.22 : x
  2. Step 2: Convert to fraction form
    857.49/1,286.24 = 208.22/x
  3. Step 3: Cross multiply
    857.49x = 1,286.24 × 208.22
  4. Step 4: Simplify right side
    857.49x = 267,820.89
  5. Step 5: Solve for x
    x = 267,820.89/857.49
  6. Step 6: Final answer
    x = 312.33

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Double scale
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1.5x scale

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.