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Finding the Fourth Proportional to 294.11, 406.20 and 200.69

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Solution

The fourth proportional to 294.11, 406.20 and 200.69 is: 277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.11 : 406.20 = 200.69 : x
  2. Step 2: Convert to fraction form
    294.11/406.20 = 200.69/x
  3. Step 3: Cross multiply
    294.11x = 406.20 × 200.69
  4. Step 4: Simplify right side
    294.11x = 81,517.24
  5. Step 5: Solve for x
    x = 81,517.24/294.11
  6. Step 6: Final answer
    x = 277.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.