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Finding the Fourth Proportional to 266.35, 396.97 and 265.94

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Solution

The fourth proportional to 266.35, 396.97 and 265.94 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.35 : 396.97 = 265.94 : x
  2. Step 2: Convert to fraction form
    266.35/396.97 = 265.94/x
  3. Step 3: Cross multiply
    266.35x = 396.97 × 265.94
  4. Step 4: Simplify right side
    266.35x = 105,570.20
  5. Step 5: Solve for x
    x = 105,570.20/266.35
  6. Step 6: Final answer
    x = 396.36

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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.