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Finding the Fourth Proportional to 266.09, 399.43 and 205.94

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Solution

The fourth proportional to 266.09, 399.43 and 205.94 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 399.43 = 205.94 : x
  2. Step 2: Convert to fraction form
    266.09/399.43 = 205.94/x
  3. Step 3: Cross multiply
    266.09x = 399.43 × 205.94
  4. Step 4: Simplify right side
    266.09x = 82,259.87
  5. Step 5: Solve for x
    x = 82,259.87/266.09
  6. Step 6: Final answer
    x = 309.15

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Why These Related Problems?

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