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Finding the Fourth Proportional to 268.71, 372.71 and 257.78

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Solution

The fourth proportional to 268.71, 372.71 and 257.78 is: 357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 372.71 = 257.78 : x
  2. Step 2: Convert to fraction form
    268.71/372.71 = 257.78/x
  3. Step 3: Cross multiply
    268.71x = 372.71 × 257.78
  4. Step 4: Simplify right side
    268.71x = 96,074.03
  5. Step 5: Solve for x
    x = 96,074.03/268.71
  6. Step 6: Final answer
    x = 357.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.