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Finding the Fourth Proportional to 268.38, 400.46 and 241.11

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Solution

The fourth proportional to 268.38, 400.46 and 241.11 is: 359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.38 : 400.46 = 241.11 : x
  2. Step 2: Convert to fraction form
    268.38/400.46 = 241.11/x
  3. Step 3: Cross multiply
    268.38x = 400.46 × 241.11
  4. Step 4: Simplify right side
    268.38x = 96,554.91
  5. Step 5: Solve for x
    x = 96,554.91/268.38
  6. Step 6: Final answer
    x = 359.77

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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.