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Finding the Fourth Proportional to 283.79, 393.41 and 268.97

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Solution

The fourth proportional to 283.79, 393.41 and 268.97 is: 372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.79 : 393.41 = 268.97 : x
  2. Step 2: Convert to fraction form
    283.79/393.41 = 268.97/x
  3. Step 3: Cross multiply
    283.79x = 393.41 × 268.97
  4. Step 4: Simplify right side
    283.79x = 105,812.18
  5. Step 5: Solve for x
    x = 105,812.18/283.79
  6. Step 6: Final answer
    x = 372.86

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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.