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Finding the Fourth Proportional to 268.73, 400.82 and 245.15

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Solution

The fourth proportional to 268.73, 400.82 and 245.15 is: 365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.73 : 400.82 = 245.15 : x
  2. Step 2: Convert to fraction form
    268.73/400.82 = 245.15/x
  3. Step 3: Cross multiply
    268.73x = 400.82 × 245.15
  4. Step 4: Simplify right side
    268.73x = 98,261.02
  5. Step 5: Solve for x
    x = 98,261.02/268.73
  6. Step 6: Final answer
    x = 365.65

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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.