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Finding the Fourth Proportional to 268.97, 403.45 and 86.36

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Solution

The fourth proportional to 268.97, 403.45 and 86.36 is: 129.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.97 : 403.45 = 86.36 : x
  2. Step 2: Convert to fraction form
    268.97/403.45 = 86.36/x
  3. Step 3: Cross multiply
    268.97x = 403.45 × 86.36
  4. Step 4: Simplify right side
    268.97x = 34,842.73
  5. Step 5: Solve for x
    x = 34,842.73/268.97
  6. Step 6: Final answer
    x = 129.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.