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Finding the Fourth Proportional to 266.09, 366.13 and 203.89

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Solution

The fourth proportional to 266.09, 366.13 and 203.89 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 366.13 = 203.89 : x
  2. Step 2: Convert to fraction form
    266.09/366.13 = 203.89/x
  3. Step 3: Cross multiply
    266.09x = 366.13 × 203.89
  4. Step 4: Simplify right side
    266.09x = 74,651.59
  5. Step 5: Solve for x
    x = 74,651.59/266.09
  6. Step 6: Final answer
    x = 280.56

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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.