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Finding the Fourth Proportional to 268.96, 401.07 and 240.04

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Solution

The fourth proportional to 268.96, 401.07 and 240.04 is: 357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.96 : 401.07 = 240.04 : x
  2. Step 2: Convert to fraction form
    268.96/401.07 = 240.04/x
  3. Step 3: Cross multiply
    268.96x = 401.07 × 240.04
  4. Step 4: Simplify right side
    268.96x = 96,272.84
  5. Step 5: Solve for x
    x = 96,272.84/268.96
  6. Step 6: Final answer
    x = 357.94

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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.