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Finding the Fourth Proportional to 268.71, 371.00 and 206.42

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Solution

The fourth proportional to 268.71, 371.00 and 206.42 is: 285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 371.00 = 206.42 : x
  2. Step 2: Convert to fraction form
    268.71/371.00 = 206.42/x
  3. Step 3: Cross multiply
    268.71x = 371.00 × 206.42
  4. Step 4: Simplify right side
    268.71x = 76,581.72
  5. Step 5: Solve for x
    x = 76,581.72/268.71
  6. Step 6: Final answer
    x = 285.00

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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.