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Finding the Fourth Proportional to 266.44, 397.82 and 240.94

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Solution

The fourth proportional to 266.44, 397.82 and 240.94 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.44 : 397.82 = 240.94 : x
  2. Step 2: Convert to fraction form
    266.44/397.82 = 240.94/x
  3. Step 3: Cross multiply
    266.44x = 397.82 × 240.94
  4. Step 4: Simplify right side
    266.44x = 95,850.75
  5. Step 5: Solve for x
    x = 95,850.75/266.44
  6. Step 6: Final answer
    x = 359.75

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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.