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Finding the Fourth Proportional to 268.38, 399.60 and 257.31

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Solution

The fourth proportional to 268.38, 399.60 and 257.31 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.38 : 399.60 = 257.31 : x
  2. Step 2: Convert to fraction form
    268.38/399.60 = 257.31/x
  3. Step 3: Cross multiply
    268.38x = 399.60 × 257.31
  4. Step 4: Simplify right side
    268.38x = 102,821.08
  5. Step 5: Solve for x
    x = 102,821.08/268.38
  6. Step 6: Final answer
    x = 383.12

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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.