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Finding the Fourth Proportional to 262.28, 391.23 and 257.42

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Solution

The fourth proportional to 262.28, 391.23 and 257.42 is: 383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 391.23 = 257.42 : x
  2. Step 2: Convert to fraction form
    262.28/391.23 = 257.42/x
  3. Step 3: Cross multiply
    262.28x = 391.23 × 257.42
  4. Step 4: Simplify right side
    262.28x = 100,708.47
  5. Step 5: Solve for x
    x = 100,708.47/262.28
  6. Step 6: Final answer
    x = 383.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.