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Finding the Fourth Proportional to 268.97, 405.20 and 265.61

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Solution

The fourth proportional to 268.97, 405.20 and 265.61 is: 400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.97 : 405.20 = 265.61 : x
  2. Step 2: Convert to fraction form
    268.97/405.20 = 265.61/x
  3. Step 3: Cross multiply
    268.97x = 405.20 × 265.61
  4. Step 4: Simplify right side
    268.97x = 107,622.48
  5. Step 5: Solve for x
    x = 107,622.48/268.97
  6. Step 6: Final answer
    x = 400.14

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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.