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Finding the Fourth Proportional to 266, 399 and 83.39

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Solution

The fourth proportional to 266, 399 and 83.39 is: 125.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    266 : 399 = 83.39 : x
  2. Step 2: Convert to fraction form
    266/399 = 83.39/x
  3. Step 3: Cross multiply
    266x = 399 × 83.39
  4. Step 4: Simplify right side
    266x = 33,272.61
  5. Step 5: Solve for x
    x = 33,272.61/266
  6. Step 6: Final answer
    x = 125.09

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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.