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Finding the Fourth Proportional to 268.92, 405.41 and 260.42

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Solution

The fourth proportional to 268.92, 405.41 and 260.42 is: 392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 405.41 = 260.42 : x
  2. Step 2: Convert to fraction form
    268.92/405.41 = 260.42/x
  3. Step 3: Cross multiply
    268.92x = 405.41 × 260.42
  4. Step 4: Simplify right side
    268.92x = 105,573.54
  5. Step 5: Solve for x
    x = 105,573.54/268.92
  6. Step 6: Final answer
    x = 392.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.