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Finding the Fourth Proportional to 268.82, 403.40 and 97.82

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Solution

The fourth proportional to 268.82, 403.40 and 97.82 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 403.40 = 97.82 : x
  2. Step 2: Convert to fraction form
    268.82/403.40 = 97.82/x
  3. Step 3: Cross multiply
    268.82x = 403.40 × 97.82
  4. Step 4: Simplify right side
    268.82x = 39,458.57
  5. Step 5: Solve for x
    x = 39,458.57/268.82
  6. Step 6: Final answer
    x = 146.79

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