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Finding the Fourth Proportional to 268.49, 404.13 and 243.33

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Solution

The fourth proportional to 268.49, 404.13 and 243.33 is: 366.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.49 : 404.13 = 243.33 : x
  2. Step 2: Convert to fraction form
    268.49/404.13 = 243.33/x
  3. Step 3: Cross multiply
    268.49x = 404.13 × 243.33
  4. Step 4: Simplify right side
    268.49x = 98,336.95
  5. Step 5: Solve for x
    x = 98,336.95/268.49
  6. Step 6: Final answer
    x = 366.27

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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.