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Finding the Fourth Proportional to 268.41, 400.44 and 239.16

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Solution

The fourth proportional to 268.41, 400.44 and 239.16 is: 356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.41 : 400.44 = 239.16 : x
  2. Step 2: Convert to fraction form
    268.41/400.44 = 239.16/x
  3. Step 3: Cross multiply
    268.41x = 400.44 × 239.16
  4. Step 4: Simplify right side
    268.41x = 95,769.23
  5. Step 5: Solve for x
    x = 95,769.23/268.41
  6. Step 6: Final answer
    x = 356.80

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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.